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: h: (- 3, 6)

m: (1, - 2)

o: (7, 6)

r: (- 9, - 2)

midpoint of hm: (- 1, 2)

midpoint of or: (- 1, 2)

therefore, b is the midpoint of both diagonals bisect each other !

to prove the diagonals are perpendicular, show that the product of the slopes = - 1

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.