Leslie mows lawns to earn money. For each customer, she charges $2.00 for gas and $3.00 per 12 hour of work. Let x represent the number of hours of work. Let y represent the amount of money, in dollars, Leslie earns. The table shows some of the data from her lawn mowing.
(Graph Below)

Complete the table on scrap paper. On the coordinate plane, graph the three points that correspond to the (x,y) pairs in rows A, B, and C, respectively, of your completed table.

Question

contestada

Respuesta :

MrRoyal MrRoyal · Answer 1 · 2021-04-01T08:28:15+02:00

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Gas = \$2.00[/tex]

[tex]Rate = \$3.00/12hr[/tex]

[tex]\begin{array}{ccc}{Row} & {Hours} & {Earnings} & {A} & {2} & { } & {B} & {4} & { } & {C} & {6} &{ } \ \end{array}[/tex] ---- Missing table

Required

Complete the table and plot the graph

First, we determine the equation of the table:

[tex]Gas = \$2.00[/tex]

[tex]Rate = \$3.00/12hr[/tex] implies that:

[tex]Rate = \$0.25/hr[/tex]

So:

[tex]y = Gas + Rate * x[/tex]

[tex]y = 2+ 0.25* x[/tex]

[tex]y = 2+ 0.25 x[/tex]

To complete the table, we have:

[tex]x = 2[/tex]

[tex]y = 2+ 0.25 x = 2+0.25 * 2 = 2.5[/tex]

[tex]x = 4[/tex]

[tex]y = 2+ 0.25 x = 2+0.25 * 4 = 3[/tex]

[tex]x = 6[/tex]

[tex]y = 2+ 0.25 x = 2+0.25 * 6 = 3.5[/tex]

So, the complete table is:

[tex]\begin{array}{ccc}{Row} & {Hours} & {Earnings} & {A} & {2} & {2.5} & {B} & {4} & {3} & {C} & {6} &{3.5} \ \end{array}[/tex]

See attachment for graph