Solve the word problem. tom plans to mow a lawn today to earn some extra money. he estimates that he will spend $1.80 on fuel and $3.45 on lunch. he will charge $11.50 to mow the lawn. what will be his profit for mowing the lawn?
a. $5.25
b. $6.25
c. $9.85
d. $16.75

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is