Jacob subscribes to an online video club that charges an $8.50 enrollment fee plus $1.50 per DVD rental. Lucy subscribes to a different online video club that charges an $11.50 enrollment fee plus $1.25 per DVD rental.

Question

Which equation determines the number of DVD rentals (d) when the 2 plans cost the same, and what is that value?
• 8.50 + 11.50 = 1.25d + 1.50;16 DVDs
• 11.50 + 1.50a = 8.50 + 1.25d;12 DVDs
• 8.50a + 1.25 = 11.50d + 1.50d ;16 DVDs
• 11.50 + 1.25d = 8.50 + 1.50d; 12 DVDs

Answer 1

The correct equation is:

8.50 + 1.50d = 11.50 + 1.25d;

To solve for the number of DVD rentals (d), we can simplify the equation:

1.50d - 1.25d = 11.50 - 8.50;

0.25d = 3;

d = 3 / 0.25;

d = 12;

Therefore, the value of d is 12 DVD rentals.