Me a ball is rolling at a rate of 3 ft per second toward a wall that is 33 feet away. select all that apply to this situation. the slope is 3 ft. it is rolling at a rate if 3 ft per second toward the wall. the y-intercept is 33 ft. the ball is 33 feet away from the wall. it will take the ball 11 seconds to touch the wall. the slope is -3 ft. the ball is rolling toward the wall at 3 ft per second. the y-intercept is 3 ft. the ball is rolling at 3 ft per second.

2. The y-intercept is 33 ft. The ball is 33 feet away from the wall.  

3. It will take the ball 11 seconds to touch the wall.  

4. The slope is -3 ft. The ball is rolling toward the wall at 3 ft per second

Step-by-step explanation:

Let x be the number of seconds.

We are told that a ball is rolling at a rate of 3 ft per second toward a wall that is 33 feet away.  

Since the ball is rolling towards wall at a rate of 3 ft per second. This means that remaining distance between wall and ball is decreasing 3 ft with each passing second. Hence, the slope of our line will be negative 3 ft.

As initially ball was 33 feet away from wall, so our y-intercept will be 33.

Upon substituting our values in slope-intercept form of equation we will get equation of our line representing remaining distance between ball and wall after x seconds as:  

Let us find the number of seconds that ball will take to touch the wall by finding the x-intercept of our line. Since x-intercept is the point when line crosses x-axis and at this point y equals 0. The x-Intercept of a line is obtained by putting the value of y as zero in the equation of a line.

Therefore, after 11 seconds ball will touch the wall.

Upon looking at our choices we can see that 2nd, 3rd and 4th options are correct choices.

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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