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.

9514 1404 393

  y = 0.5x +14

Step-by-step 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

answer: 177/8

step-by-step explanation:

part a: 1.08

part b: 27.59