QUESTION IMAGE
Question
- admission to a carnival is $7 per person and each ride costs $2.
a. write an expression to represent the scenario above if you go on r rides.
b. expression
find the total cost for one admission and 5 rides.
answer
c. find the total cost for admission for 3 people and 15 total rides.
Step1: Define fixed and variable costs
Admission is a fixed cost of $\$7$, rides are variable at $\$2$ per ride $r$.
Step2: Write total cost expression
Total cost = Fixed cost + (Cost per ride × Number of rides)
$\text{Total Cost} = 7 + 2r$
Step3: Calculate for 1 person, 5 rides
Substitute $r=5$ into the expression:
$7 + 2(5) = 7 + 10$
Step4: Calculate for 3 people, 15 rides
First, find cost for one person with 5 rides (from Step3) is $\$17$, multiply by 3:
$3 \times 17 = 51$
Or use the expression for 3 people: $3(7) + 2(15) = 21 + 30$
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a. $7 + 2r$
b. $\$17$
c. $\$51$