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Kara is saving money for a school trip. The graph shows how much money she has saved over 4 weeks

A. Write an equation to find how much money "d" Kara can save over "w" weeks.

B. Use the equation to determine how much money Kara can save in 24 weeks

Kara is saving money for a school trip. The graph shows how much money she has saved-example-1

2 Answers

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Final answer:

Without the constant weekly saving amount, we cannot create a specific linear equation for Kara's savings. However, a general form of the equation given a constant amount saved each week would be d = k * w, with d representing total dollars saved, k the constant weekly saving amount, and w the number of weeks.

Step-by-step explanation:

The question asks us to find out how much money Kara can save over a certain number of weeks. We are to assume that the amount saved each week is constant and allows us to create a linear relationship between the total amount saved and the number of weeks. This type of problem is often referred to as a linear function in algebra.

To solve part A, we need an equation d = k * w, where d represents the total dollars saved, k is the constant amount saved each week, and w is the number of weeks. However, the information provided in the question doesn't give us the actual amount saved per week by Kara, therefore we cannot determine the specific value of k for Kara's situation without additional information.

For part B, assuming we had the value of k, we would simply substitute 24 for w in the equation to find out how much is saved over 24 weeks: d = k * 24.

User Farrukh Subhani
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number of weeks
A = total amount of saved over w weeks

A = 20 + 15(w - 1)

b. Use the equation to determine how much money Kara can save in 24 weeks.

A = 20 + 15(w - 1)

A = 20 + 15(24 - 1)

A = 20 + 15(23)

A = 20 + 345

A = $365 Amount Saved in 24 Weeks
User Deepak S
by
8.0k points

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