Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

7. admission to a carnival is $7 per person and each ride costs $2. a. …

Question

  1. 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.

Explanation:

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: $3(7) + 2(15) = 21 + 30$

Answer:

a. $7 + 2r$
b. $\$17$
c. $\$51$