Question

Hari's weekly allowance varies depending on the number of chores he does. He received $24 in allowance the week he did 16 chores, and $18 in allowance the week he did 4 chores. Write an equation for his allowance in slope-intercept form.

i need help!

Answer 1

y = (1/2)x + 16

Explanation:

General point/slope form is

y = mx +b (the two points given are (4,18) and (16,24))

slope = rise/run = (24-18)/(16-4) = 6/12 = 1/2

y = (1/2)x + b

pick one point (4,18) and plug in

18 = (1/2)4 + b

18 = 2 + b

b = 16 (he still gets $16 for zero chores)

So

y = (1/2)x + 16