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Julie is at the store buying groceries. She needs to get a quart of orange juice and some peaches. The quart of orange juice costs $2.25 and the peaches are $0.75 each. The function f(x) = 0.75x + 2.25 represents Julie's expenses at the grocery store. What do the f(x) and the x represent?
A:f(x) represents the number of items purchased at the grocery store; x represents the number of peaches purchased B:f(x) represents the total cost of the grocery bill; x represents the cost per peach C: f(x) represents the number of items purchased at the grocery store; x represents the cost per peach D: f(x) represents the total cost of the groceries; x represents the number of peaches purchased
Orange juice cost $2.25 right? and Peaches are 0.75 which is 75 cents the word "each" is how many.
If she buys 1 peach it is 75 cents 2 peaches is $1.50 3 peaches is $2.25
so would it be D
Yes, it is. Nice job.
thank you but can you help me with another question? @shalante
Which of the following exponential functions goes through the points (1, 6) and (2, 12)?
f(x) = 3(2)x f(x) = 2(3)x f(x) = 3(2)−x f(x) = 2(3)−x
2. The balance in two separate bank accounts grows each month at different rates. The growth rates for both accounts are represented by the functions f(x) = 2x and g(x) = 4x + 12. In what month is the f(x) balance greater than the g(x) balance?
can you write the choices in draw mode?
what do you mean
|dw:1439596152736:dw| like this.
sorry for the bad writing
Do this first: \[(a)^b \], then multiply the outside.
how do i do that?
Plug in the 1 from (1,6) and 2 from (2,12) and see if it matches.
like do you want me to do slope formula
So replace the x with 1 to see if it equals to 6 replace the x with 2 to see if it equals to 12 No, read your question again.
You told me to help you with another problem and you posted 2 more. Only one at a time please. It is confusing...
I would help you one problem at a time. So one by one.
ok they match
Which particular one?
Yes that is correct. Nice!
so would that be the answer @Shalante
Yes, it is the only one that goes through (1,6) and (2,12)
what about the 3rd question how do solve it
is there a graph of it?
no there is no graph just multiple choice: Month 6 Month 5 Month 4 Month 3
just letting you know 2x is \[2x\] and 2^x is \[2^x\]
so is \[f(x)=2^x\]
so what would i have to do??????? @Shalante
write me the f(x) and g(x) equation on the word problem.
f(x) = 2x and g(x) = 4x + 12.
for the second problem, you wrote the equation wrong, so I asked you to draw it out. I am sure you wrote down the function to the 3rd problem (word problem) wrong also Did you see your mistake for the second problem you wrote down earlier?
You wrote down 3(2)x for the first choice. It is supposed to be 3(2)^x You see the arrow between 2 and x. That represents the x is going up making it an exponent.
yea i see that now
3(2)x is 3 times 2x 3(2)^x is \[3(2)^x\]
the 3rd problem is saying at what x is f(x)=2x greater than g(x)=4x+12 f(x) can never be greater than g(x). You probably wrote the equation wrong..
Probably forgot exponent sign.
yea i wrote that wrong
ill rewrite the 3rd question
The balance in two separate bank accounts grows each month at different rates. The growth rates for both accounts are represented by the functions f(x) = 2x and g(x) = 4x + 12. In what month is the f(x) balance greater than the g(x) balance?
Still does not make sense -_- Can you write f(x) and g(x) in draw mode
for f(x) 2 has an exponent of x and g(x) does not have an exponent of x
Look at the f(x) between your draw mode and what you wrote. You did not see your mistake..
Remember the rules I told you when writing an exponent. Now write f(x) without draw mode.
this time i wrote it exactly how the question gave it to me
Now write f(x) without draw mode.
do you think you can just help me because i am taking an exam
I am helping. You are not paying attention.
Scroll back up and read everything I wrote again until you understand.
ok nevermind i found the answer but thanks anyways