4. Grace works from 10 to 20 hours per week while attending college. She earns $9.00 per hour. Her roommate Frances also has a job. Her pay for t hours each week is given by the function f(t)= 10t, where 5
Accepted Solution
A:
Given that Grace
works from 10 to 20 hours per week while attending college. She earns
$9.00 per hour. Her roommate Frances also has a job. Her pay for t hours
each week is given by the function f(t)= 10t, where 5 ≤ t ≤ 15.
Part A:
Given that Grace's time is rounded to the nearest quarter of an hour. The domain for Grace is given by {10, 10.25, 10.50, 10.75, - - -, 19.75, 20}.
The range for grace is given by {9(10), 9(10.25), 9(10.50), 9(10.75), - - -, 9(19.75), 9(20)} = {90, 92.25, 94.5, 96.75, - - -, 177.75, 180}
The domain for Frances is given by: 5 ≤ t ≤ 15.
The range for Frances is given by: 10(5) ≤ f(t) ≤ 10(15) = 50 ≤ f(t) ≤ 150.
Part B:
Grace earns $9 per hour and $80 to $180 per week while Frances earns $10 per hour and $50 to $150 per week.