Question

As manager of the soccer team, Wendy is to hand out cups of water at practice. Each cup of water is 4 ounces. She begins practice with a 128-ounce cooler of water. A: write a formula to represent this sequence B: How much water is remaining after she hands out the 14th cup?

Answer 1

Answer: 233 oz

Explanation:

2x+5x=3n+x

10*50x=305x - the amount remaining equals

233oz

Answer 2

A.
`a_n=128-4n`

B. 72 ounce remaining

Explanation:

A.

Start off is with 128 oz and with each cup (n), 4 oz is gone (subtracted). Thus we can write the sequence as:

`a_n=128-4n`

B.

To find the amount of water remaining, we have to substitute 14 into n of the formula found above. Thus:

`a_n=128-4n\\a_n=128-4(14)\\a_(14)=128-56\\a_(14)=72`

Hence, 72 oz is remaining