Question

1. hector is going to use the equation to make predictions for the amount of money he can earn. part a: if hector gardens for 29 hours, how much will he earn? y = 1.50(29)+1 since the 29 represents the x - value, we will need to substitute and evaluate. $44.5 part b: how long will hector need to garden to earn $61? 61 = 1.50x + 1 since the $61 represents the y - value, we will need to substitute and solve. 40.33 hours

Explanation:

Step1: Solve Part A

Substitute $x = 29$ into $y=1.50x + 1$.
$y=1.50\times29 + 1$
$y = 43.5+1$
$y=44.5$

Step2: Solve Part B

Set $y = 61$ in the equation $y = 1.50x+1$ and solve for $x$.
$61=1.50x + 1$
Subtract 1 from both sides: $61 - 1=1.50x$, so $60 = 1.50x$.
Divide both sides by 1.50: $x=\frac{60}{1.50}=40$

Answer:

Part A: $44.5$ dollars
Part B: 40 hours