Final answer:
A story problem for the equation y = 5x + 3 could involve a small business where the total cost (y) is the sum of the cost per card multiplied by the number of cards (x) plus a flat material fee. In this scenario, if 10 cards are ordered, the total cost would be $53.
Step-by-step explanation:
To create and solve a story problem using the equation y = 5x + 3, consider the following scenario:
Emma runs a small business creating handmade greeting cards. She charges a flat fee for materials and a certain price per card. The total cost (y) is determined by the number of cards she makes (x) plus the cost of materials. The equation to calculate the total cost is y = 5x + 3, where 5 is the cost per card and 3 is the flat fee for materials.
If a customer wants to order 10 cards, plug in x = 10 into the equation to find y, the total cost:
y = 5(10) + 3 = 50 + 3 = 53
The customer will pay $53 for 10 cards.