Question

For each lawn mowing job, Marcus charges a fee for his equipment plus an hourly rate. The graph shows how he calculates his fee for providing mowing services. Which linear function, in the form of y = mx + b, best represent this situation? YA 20 13 17 15 A) y = x +5 B) y = x +5 C) y = 5x + D) y = 5x + 14 Total Cost ($) 0 1 2 3 4 5 6 8 10 11 12 14 15 16 17 18 19 20 Time (hours) A В Ос OD

Answer 1

Given data:

The first point on the graph is (a,b)=(0,5).

The second point on the graph is (c,d)=(4,11).

the expression for the equation of the line is,

y-b=(d-b)(x-a)/(c-a)

Substitute the given values in the above expression.

`\begin{gathered} y-5=(11-5)/(4-0)(x-0) \\ y-5=(6)/(4)x \\ y=(3)/(2)x+5 \end{gathered}`

Thus, the equation of the line is y=3x/2 +5, so the (B) option is correct.