Question

4 use the equation to predict how many hours it will take to drive 100 miles show work (calculator active to assist)!
x hours
y = 40x + 20
y miles

Explanation:

Step1: Substitute y with 100

We know the equation is \( y = 40x + 20 \), and we need to find \( x \) when \( y = 100 \). So substitute \( y = 100 \) into the equation:
\( 100 = 40x + 20 \)

Step2: Solve for x

First, subtract 20 from both sides of the equation:
\( 100 - 20 = 40x + 20 - 20 \)
\( 80 = 40x \)

Then, divide both sides by 40:
\( x=\frac{80}{40} \)
\( x = 2 \)

Answer:

It will take 2 hours to drive 100 miles.