Question

ITunes is running a sale where songs are $1.19 If you purchase one to ten songs. If you purchase 11 songs or more, they cost $0.99 each. Write an equation to model this situation.

Answer 1

To model this situation, we can use a piecewise function with different equations for different ranges of the number of songs purchased. The equation is f(x) = {1.19x if x <= 10, 0.99x if x > 10}.

Step-by-step explanation:

To write an equation to model this situation, we can use a piecewise function.

Let x be the number of songs purchased.

If x is less than or equal to 10, the cost of the songs is $1.19 each.

So the equation for this range is:

f(x) = 1.19x

If x is greater than 10, the cost of the songs is $0.99 each. So the equation for this range is:

f(x) = 0.99x

We can combine these two equations using an if-then statement:

f(x) = { 1.19x if x ≤ 10, 0.99x if x > 10 }