Question

"Rory and Theresa decide to run a sports camp. It will cost them $700 to rent the facility. They will have an additional cost of $5.00 per registered athlete for

uniforms. Write an equation in slope-intercept form (y=mx+b) that represents Roy and Theresa's cost to run the camp"
A) y = 5x + 700
B) y = 700 + 5x
C) y = 700x + 5
D) y = 5 + 700x

Answer 1

The equation in slope-intercept form is y = 5x + 700, where x is the number of registered athletes and y is the total cost.

Therefore, the correct answer is: option A) y = 5x + 700

Step-by-step explanation:

The equation that represents Rory and Theresa's cost to run the sports camp, in slope-intercept form, takes into account a fixed cost and a variable cost per registered athlete.

The fixed cost for renting the facility is represented by the y-intercept (b), which is $700, as this is the cost when no athletes are registered (x = 0).

The variable cost is represented by the slope (m), which is $5 per registered athlete.

This leads us to the slope-intercept form of the equation: y = 5x + 700.

The correct choice is: A) y = 5x + 700