Question

Pick the correct graph and equation pleasee!

Answer 1

Given:

Amount of flour in a bin = 30 cups

Flour required for each signature cake =
`1(1)/(2)` cups

To find:

The correct equation and graph for the given situation.

Solution:

Let F be the amount of flour in the bin and c be the number of signature cakes.

Flour required for each signature cake =
`1(1)/(2)` cups

Flour required for each signature cake =
`1.5` cups

Flour required for c signature cakes =
`1.5c` cups

Amount of flour in a bin is 30 cups and it is reduced by 1.5c cups. So, the amount of flour in the bin is:

`F=30-1.5c`

At
`c=0`, we get

`F=30-1.5(0)`

`F=30`

At
`F=0`, we get

`0=30-1.5c`

`1.5c=30`

`c=(30)/(1.5)`

`c=20`

Therefore, the required equation is
`F=30-1.5c` and the 4th graph is correct.