If Lakita buys x boxes of water bottles, she will have y = 16x + 69 water bottles.
Lakita has enough money to buy only up to 5 boxes of water bottles, so she can buy 0, 1, 2, 3, 4, or 5 boxes of water bottles. These are the only reasonable values for the domain. Substitute these values into the function rule to find the range values.Answer:
f(x) = 16x + 65
{65, 81, 97, 113, 129, 145}
Step-by-step explanation:
Identify the independent and dependent variable.
Independent variable: x = number of boxes of water bottles Lakita buys
Dependent variable: f(x) = the total number of water bottles
Write the function rule.
f(x) 16x + 65 Add 65 water bottles to 16 times the number of boxes Lakita buys to get the total number of water bottles.
Identify reasonable domain values.
0, 1, 2, 3, 4, 5 The domain is the number of boxes of water bottles Lakita can buy.
Calculate f(x) for each value of x.
f (0) = 16(0) + 65 = 65
f (1) = 16(1) + 65 = 81
f (2) = 16(2) + 65 = 97
f (3) = 16(3) + 65 = 113
f (4) = 16(4) + 65 = 129
f (5) = 16(5) + 65 = 145
A reasonable range for the function is {65, 81, 97, 113, 129, 145}.
