Question

Vito uses 9 liters of water 24 flower pots. He is wondering how many liters of water (w) it would take to water 40 flower pots. He assumes he'll use the same amount of water on each pot. Which portion could Vito use to model this situation? Solve the proportion how many liters of water it takes to water 40 flower pads

Answer 1

15

Step-by-step explanation:

Answer 2

15 liters of water

Step-by-step explanation:

We are given that:

9 liters of water are required to water 24 flower pots

We are asked to find the number of liters required to water 40 flower pots using proportionality.

Solution #1:

The ratio we will use is:

`(number-of-liters)/(number-of-pots)`

Since the same amount of water is required for each pot, we can set the ratio as follows:

`(number-of-liters-for-40-pots)/(40)` =
`(number-of-liters-for-24-pots)/(24)`

Now, we substitute and solve for the unknown as follows:

`(9)/(24)` =
`(number-of-liters-for-40-pots)/(40)`

Number of liters required to water 40 pots =
`(40*9)/(24)=15` liters

Solution #2:

We can rewrite the proportion above as follows:

`(number-of-liters-for-40-pots)/(number-of-liters-for-24-pots)` =
`(40)/(24)`

Now, we substitute as follows:

`(number-of-liters-for-40-pots)/(9)` =
`(40)/(24)`

Number of liters required to water 40 pots =
`(40*9)/(24)=15` liters

Solution #3:

Since we know that the number of liters for each pot is the same for all pots, we can construct the following equation:

y = mx where:

y is the total number of water liters

m is the numbers of liters for each pot

x is the total number of pots

We are given that:

9 liters are required for 24 pots. Substitute in the above equation to get m as follows:

9 = 24m ..............>
`m = (9)/(24) = (3)/(8)`

Therefore, the equation is:

`y = (3)/(8) x`

For number of pots (x) = 40, the total number of liters (y) would be:

`y = (3)/(8)*40 =15` liters

Hope this helps :)