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 = $1\dfrac{1}{2}$ 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 = $1\dfrac{1}{2}$ 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

$0=30-1.5c$

$1.5c=30$

$c=\dfrac{30}{1.5}$

$c=20$

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