Question

complete problems 3-5.
3
a. use the rule to complete the table.
input: x, number of tickets that cost $9 each
output: y, total cost
tickets (x) 1 2 3 10
cost (y) $9

b. explain why the rule is a function.

Explanation:

Step1: Define cost formula

$y = 9x$

Step2: Calculate for x=2

$y = 9 \times 2 = 18$

Step3: Calculate for x=3

$y = 9 \times 3 = 27$

Step4: Calculate for x=10

$y = 9 \times 10 = 90$

Step5: Explain function validity

Each input $x$ has one unique output $y$.

Answer:

a.

Tickets (x)	1	2	3	10

b. This rule is a function because every input (number of tickets, $x$) corresponds to exactly one unique output (total cost, $y$); there is no input value that maps to more than one total cost.