Question

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For her birthday, Keira receives a $50 gift card to for iTunes.


The function m = -0.50d + 50 represents the amount of money m that remains on the card after a number of songs d are downloaded. Explain in complete sentences.


1) What is the zero of this function? (Also known as the x-intercept.)


2) What does the x-intercept mean in the context of this question?

Answer 1

Part 1) The zero of the function is the point (100,0)

Part 2) see the explanation

Explanation:

we have

`m=-0.50d+50`

where

m ---> represents the amount of money that remains on the card

d ----> number of songs that are downloaded

Part 1) What is the zero of this function?

we know that

The zero of the function or x-intercept is the value of d when the value of m is equal to zero

so

For m=0

`0=-0.50d+50`

solve for d

`0.50d=50`

`d=100\ songs`

The zero of the function is the point (100,0)

Part 2) What does the x-intercept mean in the context of this question?

The x-intercept represents the maximum number of songs that can be downloaded with money from the gift card ($50)

When 100 songs are downloaded the money remaining on the gift card will be zero