Question

Hari's weekly allowance varies depending on the number of chores he does. He received $18 in allowance the week he did 14 chores, and $14 in allowance the week he did 6 chores. Write an equation for his allowance in slope-intercept form.
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The equation for Hari's allowance in slope-intercept form is

Answer 1

Answer:

y = ($0.5/ch) x + $10

Step-by-step explanation:

Let

x = number of chores

y = allowance

The relationship between y and x can be expressed in a linear equation in the slope-intercept form.

y = mx + b

where

m is the slope

b is the y-intercept

We have the ordered pairs (8, 14) and (12, 16). We can calculate the slope using the following expression.

m = Δy/Δx = $16-$14/12ch-8ch = $0.5/ch

The equation is

y = ($0.5/ch) x + b

We will replace the first point in the previous equation.

$14 = ($0.5/ch) 8ch + b

b = $10

The final equation is

y = ($0.5/ch) x + $10