Question

Rebecca wants to buy a new MP3 player. She has already saved $10 and will earn the rest by selling necklaces for $4 each. The equation LaTeX: D=4n+10D = 4 n + 10 represents the amount of money Rebecca has saved given the number of necklaces sold. In the equation, n represent the number of necklaces sold and D represents the total amount of money Rebecca has saved.

Explain what the y-intercept and slope represent in the context of the problem.

Answer 1

The y-intercept represents the initial amount of money Rebecca has saved, and the slope represents the rate at which her savings increase with each necklace sold.

Step-by-step explanation:

In the given equation D = 4n + 10, the y-intercept is represented by 10 and the slope is represented by 4.

The y-intercept represents the initial amount of money Rebecca has saved without selling any necklaces. In this case, it is $10. This means that even if Rebecca doesn't sell any necklaces, she already has $10 saved.

The slope represents the rate at which the amount of money Rebecca saves increases with each necklace sold. In this case, for each necklace sold, Rebecca saves $4. This means that for every additional necklace she sells, the total amount of money she has saved increases by $4.