Answer:
The hourly rate she worked to pay for the new bike is $18.84.
Explanation:
Given:
Sis worked 14.4 hours and saved $271.30 for a new bike.
The equation 14.4x=271.30 could be used to represent how much she earned per hour.
Now, to find the hourly rate she worked to pay for the new bike.
The hourly rate =
.
Number of hours = 14.4.
Money she saved = $271.30.
According to the question, the equation used to represent she earned per hour is:
![14.4x=271.30](https://img.qammunity.org/2021/formulas/mathematics/high-school/1libdqqzr4iw0g48x91np0wfmsv0h9tf5a.png)
Now, to solve the equation to get the hourly rate:
![14.4x=271.30](https://img.qammunity.org/2021/formulas/mathematics/high-school/1libdqqzr4iw0g48x91np0wfmsv0h9tf5a.png)
Dividing both sides by 14.4 we get:
![x=\$18.840.](https://img.qammunity.org/2021/formulas/mathematics/high-school/c3huoy8rrbwsq6i3sfc3rxualc8mbodpl6.png)
Thus, the hourly rate rounding to the nearest hundredths place is $18.84.
Hence, the hourly rate she worked to pay for the new bike is $18.84.