Jed is pouring water into a container at a constant rate of 8.25 ounces per second. There are already 24.75 ounces of water in a container. How many
ounces of water will be in the container after 5 seconds?
29.75 ounces
33 ounces
49.5 ounces
66 ounces

Respuesta :

Answer:

66 ounces

Step-by-step explanation:

24.75 + (8.25 x 5) = 24.75 + 41.25 = 66

Answer:

66 ounces

Step-by-step explanation:

To solve this, set up a fraction. Let "x" be the ounces of water after 5 seconds.

[tex]\frac{8.25}{1}=\frac{x}{5}[/tex]

Step 1: Switch sides

[tex]\frac{x}{5}=\frac{8.25}{1}[/tex]

Step 2: Apply rule: [tex]\frac{a}{1}=a[/tex]

[tex]\frac{x}{5}=8.25[/tex]

Step 3: Multiply both sides by 5

[tex]\frac{5x}{5}=8.25\cdot \:5[/tex]

Step 4: Simplify

[tex]x=41.25[/tex]

Now we have found the ounces of water in the container after 5 seconds, but already, there are 24.75 ounces before the ounces after 5 seconds. So to find the total add the given data to the found result

Step 1: Add 24.75 to 41.25

[tex]24.75 + 41.25 = 66[/tex]

Therefore, there are 66 ounces after 5 seconds when 24.75 ounces are already in the container.