A balloon Rises at a rate of 10 ft per second. What is the linear equation for the relationship that gives a height white and feet of the balloon after X seconds?

The linear equation is y = 10 x

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

For each unit of time, we get ten units of height.

So, the linear equation is  

y = 10 x

Where "y" is the height of the balloon after "x" seconds.

If we replace the variable x for a value we obtain the height.

For example, after 1 second:

y = 10 ft / sec x 1 sec

y = 10 feet

Feel free to ask for more if needed or if you did not understand something.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.