r3ddy
Answered

Use the equation of the trend line to predict the cost of the rideshare service for 10 miles.

Given the cost of rideshare service (in dollars) is:
[tex]\[ y = 2x + 6 \][/tex]

Where:
- [tex]\( y \)[/tex] is the cost
- [tex]\( x \)[/tex] is the number of miles driven

Predict the cost of the rideshare service for 10 miles.
[tex]\[ x = 10 \][/tex]

Calculate the cost:
[tex]\[ y = 2(10) + 6 \][/tex]

Enter the predicted cost:
[tex]\[ [ \,?\, ] \][/tex]



Answer :

Certainly! Let's solve the problem step-by-step using the given trend line equation.

### Problem:
We are given the equation of the trend line for the cost of rideshare service:
[tex]\[ y = 2x + 6 \][/tex]
where:
- [tex]\( y \)[/tex] is the cost of the rideshare service in dollars.
- [tex]\( x \)[/tex] is the number of miles driven.

We need to predict the cost of the rideshare service for 10 miles.

### Steps to Solve:

1. Identify the given values:
- The number of miles driven ([tex]\( x \)[/tex]) is 10.

2. Substitute the given number of miles into the equation:
- The equation of the trend line is [tex]\( y = 2x + 6 \)[/tex].
- Substitute [tex]\( x = 10 \)[/tex] into the equation.

3. Perform the calculations:
[tex]\[ y = 2(10) + 6 \][/tex]
- First, multiply 2 by 10:
[tex]\[ 2 \times 10 = 20 \][/tex]
- Then, add 6 to the result:
[tex]\[ 20 + 6 = 26 \][/tex]

### Conclusion:
The cost of the rideshare service for driving 10 miles is:
[tex]\[ \mathbf{\$26} \][/tex]

So, the predicted cost of the rideshare service for 10 miles, based on the given trend line equation, is $26.