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
a gurl out!

B

Step-by-step 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)

step-by-step explanation:

the shape,the size and the distance