Question

Hari's weekly allowance varies depending on the number of chores he does. He received $22 in allowance the week he did 16 chores, and $16 in allowance the week he did 4 chores. Write an equation for his allowance in slope-intercept form.

Answer 1

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Answer:

y = 0.5x +14

Explanation:

If we let x and y represent the number of chores and Hari's allowance, respectively, then we have the two points (16, 22) and (4, 16). We can use the 2-point form of the equation for a line to find the equation.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (16 -22)/(4 -16)(x -16) +22 . . . . substitute

y = -6/-12(x -16) +22 . . . . simplify

y = 1/2x -8 +22 . . . . eliminate parentheses

y = 0.50x +14