Question

Step A: Brian went to a trading-cards event. It cost $5 to enter and $4 for each card he

purchases. Write an equation that models his total cost for the day.
Step B: How many cards did Brian purchase if he spent a total of $29?
Step C: If Brian brought a total of $65, what is the maximum amount of cards he can purchase?
Explain why in a short paragraph and in your own words.

Answer 1

Explanation:

let x be the number of cards brian gets

let y be the amount of money he spends

the y intercept will be 5, since he automatically spends $5 to enter

a. 4x+5=y

b.29=4x+5 —-> 24=4x —-> x=6. Brian got 6 card

c. Brian can’t buy more than 15 cards. When you plug in 65 for y into the equation, after solving for x you get 15 To check, 4(15)+5=65