Question

wants to start a lawn care business. he offers his clients two different service options:- plan a charges $20 per month plus $5 an hour.- plan b charges $30 per month plus $3 an hour.he used the system of equations below to determine how much money he can make on both plans.$y = 5x + 20$$y = 3x + 30$if $x$ represents the number of hours he works, and $y$ represents the total money he makes at what point will he make the same amount with both plans? use the graph below to estimate your answer:- after working 1 hour- after working 3 hours- after working 5 hours- after working 7 hours

Explanation:

Step1: Set equations equal

$5x + 20 = 3x + 30$

Step2: Isolate x terms

$5x - 3x = 30 - 20$

Step3: Simplify and solve for x

$2x = 10$
$x = \frac{10}{2} = 5$

Step4: Verify with either equation

$y = 5(5) + 20 = 45$
$y = 3(5) + 30 = 45$

Answer:

B. after working 5 hours