Ari is starting a yard service business. He charges a flat rate of $10 plus an additional $15 per hour, regardless of the service. Create a function and use a table to determine how much Ari will make if he works for 1, 1.5, 2, 2.5, and 3 hours.(1 point) Responses (1,5), (1.5,7.5), (2,10), (2.5,12.5), (3,15) left parenthesis 1 comma 5 right parenthesis , left parenthesis 1.5 comma 7.5 right parenthesis , left parenthesis 2 comma 10 right parenthesis , left parenthesis 2.5 comma 12.5 right parenthesis , left parenthesis 3 comma 15 right parenthesis (1,16), (1.5,16.5), (2,17), (2.5,17.5), (3,18) left parenthesis 1 comma 16 right parenthesis , left parenthesis 1.5 comma 16.5 right parenthesis , left parenthesis 2 comma 17 right parenthesis , left parenthesis 2.5 comma 17.5 right parenthesis , left parenthesis 3 comma 18 right parenthesis (15,1), (17.5,1.5), (20,2), (22.5,2.5), (25,3) left parenthesis 15 comma 1 right parenthesis , left parenthesis 17.5 comma 1.5 right parenthesis , left parenthesis 20 comma 2 right parenthesis , left parenthesis 22.5 comma 2.5 right parenthesis , left parenthesis 25 comma 3 right parenthesis (1,25), (1.5,32.5), (2,40), (2.5,47.5), (3,55) left parenthesis 1 comma 25 right parenthesis , left parenthesis 1.5 comma 32.5 right parenthesis , left parenthesis 2 comma 40 right parenthesis , left parenthesis 2.5 comma 47.5 right parenthesis , left parenthesis 3 comma 55 right parenthesis
To determine how much Ari will make for each amount of time worked, we can create a function to represent the total amount earned, given the number of hours worked. The function can be written as:
m(h) = 10 + 15h
where m(h) represents the total amount earned and h represents the number of hours worked.
Using this function, we can create a table to calculate the total earnings for Ari at different time intervals:
h | m(h)
---------------
1 | 10 + 15(1) = 25
1.5 | 10 + 15(1.5) = 32.5
2 | 10 + 15(2) = 40
2.5 | 10 + 15(2.5) = 47.5
3 | 10 + 15(3) = 55
Therefore, the correct table representing how much Ari will make if he works for 1, 1.5, 2, 2.5, and 3 hours is:
(1, 25)
(1.5, 32.5)
(2, 40)
(2.5, 47.5)
(3, 55)