Question

Suppose the weights (w) of male students in MA102 are linearly related to their heights (h).
If a student 62 inches tall weighs 120 pounds and a student 72 inches tall weighs 170 pounds,
write an equation to express weight in terms of height.

Answer 1

if we let
x = height in inches
y = weight in pounds

then we'd have these two ordered pairs (62, 120) and (72, 170)

Answer 2

(62,120) because x = 62 inches corresponds to y = 120 pounds

(72,170) because x = 72 inches corresponds to y = 170 pounds

Answer 3

Use the slope formula
\[\Large m = \frac{y_2 - y_1}{x_2 - x_1}\]
and tell me what slope you get

Answer 4

thanks

Answer 5

what slope do you get?

Answer 6

m=5

Answer 7

correct

Answer 8

y = mx+b

y = 5*x + b ... replace m with 5

120 = 5*62 + b ... plug in (x,y) = (62,120)

now solve for b and tell me what you get

Answer 9

b=-190

Answer 10

correct, so because m = 5 and b = -190, this means the equation y =mx+b turns into y = 5x-190

Answer 11

thanks alot

Answer 12

sure thing