anonymous
  • anonymous
help
Mathematics
  • Stacey Warren - Expert brainly.com
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
The number of fish (F) in a fish tank increases when the number of plants (P) increases. Write the correct equation for this scenario, and solve for the number of fish when the number of plants is 3. Plants Fish 15 6 20 8 F = P; F = 3 F = .4P; F = 1.2 F = 90 over P; F = 30 F = 90 over P; F = 270
anonymous
  • anonymous
@amistre64 @phi
phi
  • phi
you could think of Plants as x and Fish as y then you have the two points (15,6) and (20,8) do you know how to find the equation of a line through 2 points?

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anonymous
  • anonymous
like the slope?
phi
  • phi
the first step is find the slope which is change in y divided by change in x
anonymous
  • anonymous
\[\frac{ 8 - 6 }{ 20 -15 } = \frac{ 2 }{ 5 } \]
phi
  • phi
yes. now write down the equation y = m x + b you found m is 2/5 so you know \[ y = \frac{2}{5} x + b \] replace y and x with the values from one of the points for example, use (15,6) i.e. let x=15 and y=6 then find b can you do that ?
anonymous
  • anonymous
yup. \[6 = \frac{ 2 }{ 5 }(15) + b\] then \[6 = 6 + b \] to get \[0=b\] so \[b = 0\]
phi
  • phi
yes, so the equation becomes \[ y = \frac{2}{5} x \] (adding b=0 is not necessary) or, renaming x and y back to plants and fishes i.e. use P and F: \[ F= \frac{2}{5} P\]
anonymous
  • anonymous
ok
phi
  • phi
is that enough to answer the question ?
anonymous
  • anonymous
idk im not sure what to do next
phi
  • phi
look at your choices
anonymous
  • anonymous
so do i plug in 3 for plants
phi
  • phi
you can do that. what do you get ?
anonymous
  • anonymous
1.2 so its B because 2/5 = .4
anonymous
  • anonymous
am i right?
phi
  • phi
yes, and notice that 2/5 is the same a 0.4 so we could write the equation as y = 0.4 x or F= 0.4 P
anonymous
  • anonymous
thnk you so much i have more can you help w/?
phi
  • phi
notice that once you realize that 2/5 is 0.4 then F= 0.4 P means only choice B works. (all the other choices have the wrong equation)
anonymous
  • anonymous
oh okay
phi
  • phi
one more
anonymous
  • anonymous
Rae earns $60 for playing music on Saturday nights at the local coffee house. She makes an average of $5.25 in tips per hour. Write the function of Rae's earnings, and solve for how much she would make after 4 hours. y = 5.25x + 60; $65.25 y = 60x + 5.25; $85.75 y = 5.25x + 60; $81.00 y = 60x + 5.25; $185.25
phi
  • phi
any thought on what x and y represent in this problem ?
anonymous
  • anonymous
y = hour and the tip is x?
phi
  • phi
look at this sentence: how much she would make after 4 hours ? what do they want us to calculate? I would say "how much she makes" i.e. earnings. what do we "use" to figure out the earnings? the number of hours so you should think y (I want to know this ) equals stuff with an x (put in x and do some arithmetic)
anonymous
  • anonymous
so i was wrong
phi
  • phi
next, what in the problem goes with "number of hours". we read this $5.25 in tips per hour. that means to figure out how much in tips we need to know how many hours she worked (she get 5.25 for each hour)
phi
  • phi
ok, can you write what you think y and x stand for ?
anonymous
  • anonymous
im not sure this one is really confusing
phi
  • phi
we want to write down an equation that lets us calculate how much she made we would write y = something and y is what we are trying to calculate
phi
  • phi
y will be the earnings
phi
  • phi
if she got no tips, how much are her earnings? Based on what they tell you.
anonymous
  • anonymous
60$
phi
  • phi
and if you write it as an equation y= 60
phi
  • phi
now add in how much she makes in tips. can you do that ?
anonymous
  • anonymous
y = 5.25x + 60
phi
  • phi
pretty close. even better. and yes, bingo!
anonymous
  • anonymous
lol
phi
  • phi
now use x=4 to find how much she made
anonymous
  • anonymous
y = 5.25(4) + 60 so y = 21 + 60 equals y = 81
anonymous
  • anonymous
so its C
phi
  • phi
yes
anonymous
  • anonymous
What is the slope of the line that passes through (2, 5) and (−1, 5)? −3 0 <-- my choice Undefined 3
phi
  • phi
yes (5-5)/(-1-2) = 0/(-3) = 0
anonymous
  • anonymous
The function for the cost of materials to make a muffin is f(x) = Three fourths x + 3, where x is the number of muffins. The function for the selling price of those muffins is g(f(x)), where g(x) = 3x + 4. Find the selling price of 20 muffins. 18 49 51 58 <--- my choice
phi
  • phi
yes
anonymous
  • anonymous
Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x) Dawn writes 800 pages in 80 days. x g(x) 2 −6 4 12 6 30 The function f(x) has a larger slope. The function g(x) has a larger slope. They both have the same slope. The relationship between slopes cannot be determined. idk this one
phi
  • phi
can you find the slope for g(x) (think of g(x) as "y") ?
anonymous
  • anonymous
\[\frac{ 30 - 12 }{ 6 -4 } = \frac{ 18 }{ 2 } = 9\]
phi
  • phi
and if we want to be sure, check another (x,y) pair (in case they are being tricky) (12- -6) / (4-2) = 18/2 = 9 good , we get the same slope (which means g(x) is a straight line)
phi
  • phi
the 800 pages in 80 days means 800/80 = 10 pages per day when you see a "rate" (or the "per" word) , you can think of that as a slope.
anonymous
  • anonymous
so the function f(x) has a large slope
phi
  • phi
for example, if you remember the "tip" problem, you were told 5.25 per hour (the per was a clue that the 5.25 is a slope that multiplies x)
phi
  • phi
yes, 10 is bigger than 9
anonymous
  • anonymous
okay thnx
phi
  • phi
yw
anonymous
  • anonymous
Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x) = 2x + 3 The function g(x) going through 1 on the x axis and 1, 4 The function f(x) has a larger slope. <--- my choice The function g(x) has a larger slope. They both have the same slope. The relationship between slopes cannot be determined.
anonymous
  • anonymous
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phi
  • phi
what is the change in y divided by change in x for g(x) ?
phi
  • phi
notice the change in x is 0 and we get change in y divided by 0 which technically is not defined, but we can think of as approaching infinity I hope they are not being tricky... but I would say the slope of g(x) is *very large*
anonymous
  • anonymous
now i think its D
phi
  • phi
it might be, but I would go with with g(x) slope is larger than f(x)
anonymous
  • anonymous
ok
phi
  • phi
but no guarantees on that one.
anonymous
  • anonymous
ill check with someone else later but thnx
anonymous
  • anonymous
jorge was tracking the decreasing temperature in the morning. At 7 a.m., it was 65 degrees Fahrenheit. At 9 a.m., it was 55 degrees Fahrenheit. If Jorge made the function f(x) = −5x + 100, what would the −5 represent? The temperature at midnight The length of time he recorded for The total change in degrees The rate at which the temperature was decreasing
phi
  • phi
any thoughts?
anonymous
  • anonymous
the slope
anonymous
  • anonymous
so D
phi
  • phi
yes
anonymous
  • anonymous
thnx i got only 2 more
anonymous
  • anonymous
The number of roses (r) in a garden increases when the number of weeds (w) decreases. Write the correct equation for this scenario, and solve for the number of roses when there are 5 weeds. Weeds Roses 10 20 20 10 r = 200 over w; r = 40 r = 200 over w; r = 1000 r = 2w; r = 10 r = 2w; r = 2.5
anonymous
  • anonymous
this is similar to the one with the plants and it was like.4
phi
  • phi
it might not be a line with this one.
anonymous
  • anonymous
oh ok
phi
  • phi
if we assume a straight line through the two points (10,20) and (20,10) we get y= -x +30 or r = - w + 30 and none of your choices have that equation
anonymous
  • anonymous
true
phi
  • phi
but it sounds like "inverse variation" in other words \[ y = \frac{k}{x} \]
anonymous
  • anonymous
idk how to do that
phi
  • phi
use an (x,y) pair to "solve for k" or in this case \[ r = \frac{k}{w} \] use a (w,r) pair
phi
  • phi
in other words, use (20,10) i.e. w=20, r=10 in that equation and simplify to find k
anonymous
  • anonymous
\[10 = \frac{ k }{ 20 } \] \[20 * 10 = k \] \[k = 200\]
anonymous
  • anonymous
\[r = \frac{ 200 }{ w }\]
anonymous
  • anonymous
r = 40? so A
anonymous
  • anonymous
@Nnesha
phi
  • phi
yes
anonymous
  • anonymous
i got one more plz
anonymous
  • anonymous
Below are two different functions, f(x) and g(x). What can be determined about their y-intercepts? graph going through 3, 2 and 3, 4 x g(x) 2 1 4 3 6 5 The function f(x) has a higher y-intercept. The function g(x) has a higher y-intercept. They both have the same y-intercept. The relationship between y-intercepts cannot be determined.
anonymous
  • anonymous
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phi
  • phi
f(x) is a vertical line and does not have a y-intercept. so cannot be determined. (maybe you should choose cannot be determined for the other question about a vertical line)
anonymous
  • anonymous
okay ill ask someone else thnx

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