Question

Mark owns a personal training business. He makes a total of $500 for every 3 clients he acquires. Graph the relationship on the coordinate plane below. How much money will 21 clients bring in?

Options:
A) $3,500
B) $4,200
C) $5,000
D) $6,300

Answer 1

Let x represent the number of clients and y represent the amount of money. This means that for every 3 clients, he earns $500. Mark will make $3,500 for 21 clients.

Step-by-step explanation:

To graph the relationship between the number of clients Mark acquires and the amount of money he makes, we can use a linear equation.

Let x represent the number of clients and y represent the amount of money.

From the given information, we know that Mark makes $500 for every 3 clients.

This means that for every 3 clients, he earns $500.

We can set up a proportion to find the amount of money Mark will make for 21 clients:

3/500 = 21/y

Cross-multiplying, we get:

3y = 21*500

3y = 10500

Dividing both sides by 3, we get:

y = 3500

Therefore, Mark will make $3,500 for 21 clients.