Question

a digital music service offers two subscription plans. The first has a $9 membership fee and charges $1 per download. The second has a $25 membership fee and charges $.50 per download. How many songs must you download for the second plan to cost less than the first plan?

Answer 1

Let

x------> number of download

y------> the cost

we know that

The first plan

y=9+1*x

The second plan

y=25+0.50*x

using a graph tool

see the attached figure

for x=32 downloads the cost is the same in both plans

for x> 32 downloads the cost of the second plan is less than the the cost of the first plan

therefore

the answer is

the number of downloads must be greater than 32