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
