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anonymous
 one year ago
which function has the largest slope?
1)
x f(x)
3 10
1 7
1 4
2)
g(x) equals onehalf x plus 3
3) Lance gains 1 level each time he plays his favorite video game. He started at level 10
anonymous
 one year ago
which function has the largest slope? 1) x f(x) 3 10 1 7 1 4 2) g(x) equals onehalf x plus 3 3) Lance gains 1 level each time he plays his favorite video game. He started at level 10

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3For 1), you have 3 points of the function. Use any two points and find the slope. For points \((x_1, y_1) \) and \((x_2, y_2) \), the slope is \(slope = m = \dfrac{y_2  y_1}{x_2  x_1} \)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i dont know how to do any of this /:

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3What do you get for the slope in 1)?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Ok. For part 1), let's choose the points (3, 10) and (1, 4). Each point has an xcoordinate followed by a ycoordinate like this: (x, y)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3To find the slope, find the difference of the ycoordinates and divide by the difference of the xcoordinates.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3For those two points, what are the ycoordinates?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3The ycoordinates are 10 and 4 The xcoordinates are 3, 1 Subtract the ycoordinates and divide by the subtraction of the xcoordinates to get the slope. \(slope = m = \dfrac{10  (4)}{3  1} = \dfrac{6}{4} = \dfrac{3}{2} \)

vera_ewing
 one year ago
Best ResponseYou've already chosen the best response.0Great explanation @mathstudent55 ! It's very helpful! :)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Now we need to find the slope for part 2).

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3In part 2) we have an equation: \(g(x) = \dfrac{1}{2}x + 3\) This is the equartion of a line is slopeintercept form, \(y = mx + b\)m, where m = slope. We can read the slope directly. It is the number that multiplies x. For part 2_, the slope is \(\dfrac{1}{2} \).

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Now we need to deal with part 3). Lance started at Level 10, so we start with y = 10 For each time, x, he plays, he gains 1 level, y. That means as x goes up 1, y goes up 1, and so on. We simply add x to 10, or \(y = x + 10\) Since this is also in slopeintercept form, we again read off the slope directly. Since x = 1x, the slope is 1.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Now we have the 3 slopes, and you can decide which one is largest.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the first one is largest right?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Correct. Between 3/2, 1/2 and 1, 3/2 is largest.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you were alot of help thanks so much
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