Question

The equations below show the total amount of water in gallons, y, that has flowed through two different types of shower heads after x minutes of use.
Type A: y = 1.25x
Type B: y = 2.50x
Based on these equations, which of the following statements is a correct comparison?
A) For each minute of use, the amount of water that flowed through Type B is twice the amount that flowed through Type A.
B) For each minute of use, the amount of water that flowed through Type A is twice the amount that flowed through Type B.
C) The amount of water that flowed through Type A per minute increased at a faster rate than the amount of water that flowed through Type B per minute.
D) The amount of water that flowed through Type B per minute increased at a faster rate than the amount of water that flowed through Type A per minute.

Answer 1

Answer:

The correct option is option (B)

Explanation:

Given that,

The equation below show the total amount of water in gallons, y that has flowed through two different types of showers heads after x minute.

Type A: y =1.25 x

Type B: y= 2.50 x

So,

The amount of water per minute is $=\frac{\textrm{The amount of water}}{\textrm{Time}}$

For type A

y =1.25 x

$\Rightarrow \frac{y}{x}=1.25$

For type B

y =2.50 x

$\Rightarrow \frac{y}{x}=2.50$

$\Rightarrow \frac{y}{x}=2\times 1.25$

The amount of  water flowed through Type B is twice that flowed trough type A per minute.