Question

A dance studio charges an application fee of $75 and $50 per month for membership. This is represented by the linear equation C = 50x + 75, where C represents the cost and x represents the number of months. They are running a "no application fee" special during the month of January. How should the linear equation be changed to represent the new price?

A) Change the cost to 0. B) Change the slope to 0. Eliminate C) Change the x-intercept to 0. D) Change the y-intercept to 0.

Answer 1

The linear equation for the dance studio's special pricing without an application fee is C = 50x, which is achieved by changing the y-intercept to 0 in the original equation.

Step-by-step explanation:

The dance studio is running a "no application fee" special during the month of January, which means the initial application fee of 75 is waived. The linear equation representing the cost without this fee would be C = 50x, as the 75 one-time fee is no longer being charged. To adjust the original equation C = 50x + 75 to reflect the new pricing, we would change the y-intercept to 0, making the correct adjustment D) Change the y-intercept to 0. The slope remains the same because the monthly membership cost of 50 has not changed, so the rate of change per month is still $50.

Answer 2

D)

Step-by-step explanation:

Change the y-intercept to 0

y-intercept represents the beginning fee.

c = 50x