question the table below shows tamikas earnings on the job. time (hours) earnings (dollars) 12 $376.80 20…

question the table below shows tamikas earnings on the job. time (hours) earnings (dollars) 12 $376.80 20 $628 32 $1004.80 how much does she make in 13.75 hours? answer attempt 1 out of 2 $

question the table below shows tamikas earnings on the job. time (hours) earnings (dollars) 12 $376.80 20 $628 32 $1004.80 how much does she make in 13.75 hours? answer attempt 1 out of 2 $

Answer

Answer:

$432.25$

Explanation:

Step1: Find the hourly - rate

First, we check if the relationship is linear. The change in earnings divided by the change in time should be constant. For the first two data - points: $\text{Hourly rate}=\frac{628 - 376.80}{20 - 12}=\frac{251.2}{8}=31.4$ dollars per hour. We can double - check with the second and third data - points: $\frac{1004.80 - 628}{32 - 20}=\frac{376.8}{12}=31.4$ dollars per hour.

Step2: Calculate earnings for 13.75 hours

Earnings = Hourly rate×Time. Substitute the hourly rate of $31.4$ dollars per hour and time $t = 13.75$ hours. Earnings=$31.4\times13.75 = 432.25$ dollars.