What are the next three terms of the sequence 6, 12, 18, 24,...?
The common difference between the terms is 6. Therefore, the next three terms are 30, 36, 42.
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?
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.
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?
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.
1. What are the next three terms in the sequence?
-1, 9, 19, 29, ...
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