Question

Question Use the linear model to make a prediction. The line of best fit y=0.37x+5 represents the tolls you pay after driving a specific number of miles. What prediction can be made based on this line of best fit?(1 point) Responses You can spend $42 to drive 100 miles. You can spend $42 to drive 100 miles. You can drive for 50 miles and spend less than $20. You can drive for 50 miles and spend less than $20. You can spend less than $30 to go 75 miles. You can spend less than $30 to go 75 miles. If you drove 10 miles, you would pay $42. If you drove 10 miles, you would pay $42.

Answer 1

To make predictions using the line of best fit $y=0.37x+5$, where $y$ represents the toll costs and $x$ represents the miles driven, we can plug in different values for $x$ to see how much one would pay for various distances.

1. For $x=10$ miles: $$y=0.37(10)+5=3.7+5=8.7$$ So, if you drove 10 miles, the cost would be $8.7 (not $42).

2. For $x=50$ miles: $$y=0.37(50)+5=18.5+5=23.5$$ So, if you drove 50 miles, you would spend $23.5, which is less than $20 (incorrect).

3. For $x=75$ miles: $$y=0.37(75)+5=27.75+5=32.75$$ So, if you drove 75 miles, you would spend $32.75, which is less than $30 (incorrect).

4. For $x=100$ miles: $$y=0.37(100)+5=37+5=42$$ So, if you drove 100 miles, you would spend $42.

Based on the calculations, the correct prediction based on the equation provided is:

You can spend $42 to drive 100 miles.