Question

An online store charges $5 to ship one box and $10 to ship two boxes. Write an explicit formula for an arithmetic sequence to represent the amount the online store pays to ship n boxes. Use the explicit formula to determine how much the online store charges when shipping 11 items.

Answer 1

$55

Explanation:

Since we are not given much information in this problem, we know this must be a pretty simple sequence. If we make a sequence of Natural Numbers and match it up to the prices we've been given, we get

1,2,3,4...

5,10,15...

The price is increasing by five dollars for every "n", so our sequence is just 5n. Extrapolating this out gives us $55 for n=11

Answer 2

Write an explicit formula for an arithmetic sequence to represent the amount the online store pays to ship n boxes.

From what we know so far,

y = 5n

Use the explicit formula to determine how much the online store charges when shipping 11 items.

y = 5(11)

y = 55 dollars

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather