Question

The table below shows Alexa's earnings on the job. Time (hours) Time (hours) Earnings (dollars) Earnings (dollars) 8 8 $ 213.60 $213.60 16 16 $ 427.20 $427.20 31 31 $ 827.70 $827.70 How much does she make in 5.5 5.5 hours?

Answer 1

approximately $147.60 in 5.5 hours

Explanation:

To find how much Alexa makes in 5.5 hours, we can use linear interpolation. Linear interpolation is a method of estimating a value between two known values based on the assumption that the value changes linearly between them.

We can use the first two data points to calculate the hourly rate:

Hourly rate = (Earnings at 16 hours - Earnings at 8 hours) / (16 - 8) = ($427.20 - $213.60) / 8 = $26.40 per hour

Then we can use this hourly rate to estimate the earnings for 5.5 hours:

Earnings at 5.5 hours = Earnings at 8 hours + (5.5 - 8) x Hourly rate

Earnings at 5.5 hours = $213.60 + (-2.5) x $26.40

Earnings at 5.5 hours = $213.60 - $66.00

Earnings at 5.5 hours = $147.60

Therefore, Alexa would make approximately $147.60 in 5.5 hours.