one day, jasmine earned $25.20 for 6 hours of work. another day,she earned, she earned $16,80 for 4 hours of work,which function shows how much jasmin earns(c) for working (h) hours?
To find the function that represents how much Jasmine earns (c) for working (h) hours, we need to find the rate at which she is earning money per hour.
On the first day, Jasmine earned $25.20 for 6 hours of work. Therefore, her rate of earnings per hour can be calculated as:
Rate_1 = $25.20 / 6 hours
On the second day, Jasmine earned $16.80 for 4 hours of work. Therefore, her rate of earnings per hour can be calculated as:
Rate_2 = $16.80 / 4 hours
Since the task asks for a function that calculates Jasmine's earnings for any number of hours (h), we can assume that the rate of earnings per hour remains constant. We can find the average rate of earnings per hour by taking the average of Rate_1 and Rate_2:
Average rate = (Rate_1 + Rate_2) / 2
Now, we can use this average rate to find the function that represents Jasmine's earnings (c) for working (h) hours:
c(h) = (Average rate) * h
Thus, the function that represents Jasmine's earnings is:
c(h) = [(25.20/6) + (16.80/4)] / 2 * h
Simplifying this expression, we get the function:
c(h) = (4.2 + 4.2) / 2 * h
c(h) = 8.4 / 2 * h
c(h) = 4.2 * h
Therefore, the function that represents Jasmine's earnings is c(h) = 4.2h, where c is the amount of money earned and h is the number of hours worked.