Question

There is 1in. of water in a pool. The water level is increasing at 0.75in./min. Which linear equation represents the total depth of the water, in inches, after x minutes?

A. 1 + y = 0.75x

B. y = 0.75x + 1

C. y = 0.75x

D. x = 0.75y

PLEASE HELP A GURL OUT!

Answer 1

b i believe

Explanation:

because you would multiply the speed over time the add what you started with

Answer 2

B

Explanation:

recall the general form of a linear equation is

y = mx + b

where m is the slope (or rate of change) and b is the y-intercept (or the initial value of y when x = 0)

let y = water level and x = time elapsed

In this case, we are given that the rate of change is 0.75 in/min, given that the water level is RISING and the equation describes the INCREASING of water depth, hence the sign the rate is a positive (increasing) rate.

hence m = +0.75 in/min

also given that the initial level is 1 inch, hence b = 1 inch

substituting these values into the general equation:

y = 0.75x + 1 (answer B)