The rental cost (y) in dollars for renting a kayak for (x) hours from two
different companies is represented by the system y = 25x + 250 and y =
50x + 150. For what number of hours will the rental cost be the same for
both companies? Explain what you did to find your answer. *

4 hours

Step-by-step explanation:

We want to find at what x value, will y be the same for both companies. To do this, we can set the two expressions equal to each other.

25x+250=50x+150

To solve, we have to get all the variables to one side of the equation, and all the numbers to the other

Subtract 25x from both sides

250=25x+150

Subtract 150 from both sides

100=25x

Now, we have all the variables on one side, and the numbers on the other.

To isolate the variable, divide by 25

x=4

So, at 4 hours,the cost will be the same

Hope this helps! :)

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed