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.
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+1.50d;16 DVDs
11.50+1.50d=8.50+1.25d;12 DVDs
8.50d+1.25=11.50d+1.50d;16 DVDs
11.50+1.25d=8.50+1.50d; 12 DVDs
The correct equation is:
8.50 + 1.50d = 11.50 + 1.25d
To solve for d, we can rearrange 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, which means that the two plans have the same cost when Jacob and Lucy each rent 12 DVDs.