Question

Hari's weekly allowance varies depending on the number of chores he does. He received $18 in allowance the week he did 10 chores, and $16 in allowance the week he did 6 chores. Write an equation for his allowance in slope-intercept form.

Answer 1

y=1/2x+13

Explanation:

The slope-intercept form is: y=mx+b, where m is the slope and b is the y-intercept of the line. First, you have to calculate the slope using the following formula:

m=y2-y1/x2-x1

You have two points: (6, 16), (10,18) as the chores are the independent variable which is x, and the money is the dependent variable which is y.

Now, you can replace the values in the formula:

y2=18

y1=16

x2=10

x1=6

m=(18-16)/(10-6)

m=2/4

m=1/2

Now, you use the point-slope formula:

y-y1=m(x-x1)

You have to replace the value of the slope and one point and solve for y:

y-16=1/2(x-6)

y-16=1/2x-3

y=1/2x-3+16

y=1/2x+13

According to this, the answer is that the equation for his allowance in slope-intercept form is: y=1/2x+13.