Question

Jack wants to buy an electric guitar. He began the the year with some money saved to buy the guitar, and each week he adds a fixed amount to his savings. If y represents the total amount Jack has saved after x weeks, which of the following situations is represented by the table below?

A. Jack initially had $45 saved, and the amount is increasing at a rate of $15 per week.
B. Jack initially had $45 saved, and the amount is increasing at a rate of $30 per week.
C. Jack initially had $75 saved, and the amount is increasing at a rate of $15 per week.
D. Jack initially had $75 saved, and the amount is increasing at a rate of $30 per week.

Answer 1

The answer would be A

Answer 2

For this case it can be seen that in the table, the values ​​of "x" represent the number of weeks Jack has saved. The weeks are represented two by two.

On the other hand, the values ​​of "y" represent the amount of money saved by Jack in relation to a certain week "x".

We note that in week 2 Jack had $ 75, in week 4 he had 105.

This means that in two weeks I add to your savings:

`105-75 = 30` $

We also observed that he adds $ 30 every two weeks.

If they tell us that they add a fixed amount per week, then Jack adds $ 15 per week.

Then the option that best fits is:

Jack initially had $ 75 saved, and the amount is increasing at a rate of $ 15 per week.

Answer:

Option C