Question

7. Ayo washes cars and motorcycles. He charges $3 per motorcycle and $6 percar. He wants to earn a total of at least $24 a day.7a. Write an inequality to represent the constraints in this situation if xrepresents the number of motorcycles washed and y represents thenumber of cars washed.. *

Answer 1

we have that

Let

x -----> number of motorcycles

y ----> number of cars

we have the inequality

Remember that

the term "at least" means -----> greater than or equal to

so

`3x+6y\ge24`

the solution to the inequality is the shaded region above the solid line 3x+2y=24

see the attached figure

Part b

The graph is the option C

Part c

we have the ordered pair (3,2)

If the ordered pair satisfies the inequality, then the ordered pair must lie on the shaded region of the graph

see the attached figure

the ordered pair does not lie on the shaded region

therefore

the answer part c is

No he didn't make enough money

Part d

we have

For x=3 and y=2

substitute in the inequality

`\begin{gathered} 3(3)+6(2)\ge24 \\ 21\ge24 \end{gathered}`

the ordered pair (3,2) does not satisfy the inequality

Part e

this part is the same that part c