Question

the table shows the relationship between the number of minutes that a hose has been on and the number of gallons of water that have been added to a plastic pool. which statement is true?
minutes hose on: 0, 5, 10, 15, 20
gallons of water in pool: 0, 40, 80, 120, 160

1. the relationship is additive because the number of minutes can be found by adding 5 to the number of gallons.
2. the relationship is additive because the number of gallons can be found by adding 5 to the number of minutes.
3. the relationship is multiplicative because the number of gallons can be found by multiplying the number of minutes by 8.
4. the relationship is multiplicative because the number of minutes can be found by multiplying the number of gallons by 8.

Explanation:

Step1: Check additive relationship

Test if gallons = minutes + 5:
For 5 minutes: $5+5=10
eq 40$; this fails.
Test if minutes = gallons +5:
For 40 gallons: $40+5=45
eq5$; this fails.

Step2: Check multiplicative relationship

Test if gallons = minutes $\times8$:
For 5 min: $5\times8=40$, matches.
For 10 min: $10\times8=80$, matches.
For 15 min: $15\times8=120$, matches.
For 20 min: $20\times8=160$, matches.
Test if minutes = gallons $\times8$:
For 40 gallons: $40\times8=320
eq5$; this fails.

Answer:

The relationship is multiplicative because the number of gallons can be found by multiplying the number of minutes by 8.