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
(1,25), (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
(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
(1,16), (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
To create the function, let x represent the number of hours and y represent the amount Ari makes.
The flat rate for Ari's yard service is $10, so that will be the initial amount. Then, for each hour worked, Ari will make an additional $15.
Therefore, the function can be written as: y = 10 + 15x.
Using this function, we can create a table to determine how much Ari will make for different numbers of hours:
x | y
---------------
1 | 10 + 15(1) = 25
1.5 | 10 + 15(1.5) = 25 + 22.5 = 47.5
2 | 10 + 15(2) = 25 + 30 = 55
2.5 | 10 + 15(2.5) = 25 + 37.5 = 62.5
3 | 10 + 15(3) = 25 + 45 = 70
The correct table for how much Ari will make if he works for 1, 1.5, 2, 2.5, and 3 hours is:
(1, 25), (1.5, 47.5), (2, 55), (2.5, 62.5), (3, 70)