Question

What are the next three terms of the sequence 6, 12, 18, 24,...?

Answer 1

Mia charges $2.25 per hour when she babysits, plus $5.00 for transportation expenses. Which function rule represents the amount y Mia charges to babysit for x hours?

Answer 2

The sale price of ground beef at a local grocery store is $1.49 for the first pound and $1.09 for each additional pound. Which function rule shows how the cost of ground beef, y, depends on the number of pounds, x?

Answer 3

1. What are the next three terms in the sequence?

-1, 9, 19, 29, ...

Answer 4

The common difference between the terms is 6. Therefore, the next three terms are 30, 36, 42.

Answer 5

The function rule that represents the amount y Mia charges to babysit for x hours is:

y = 2.25x + 5.00

This is because she charges $2.25 per hour (represented by 2.25x) and adds a flat fee of $5.00 for transportation expenses.

Answer 6

The function rule that shows how the cost of ground beef, y, depends on the number of pounds, x, is:

y = 1.09(x-1) + 1.49

This is because the first pound costs $1.49, and each additional pound costs $1.09. However, since the first pound is at a different rate, we subtract 1 from the total number of pounds (x-1) before multiplying by $1.09. Then, we add the initial $1.49 cost.

Answer 7

The common difference between any two consecutive terms is 10, so to find the next three terms, we just need to add 10 to the last term of the sequence:

-1, 9, 19, 29, 39, 49, 59