The amount of fresh water left in the tanks of a nineteenth-century clipper ship is a linear function of the time since the ship left port, as shown in the table. Write an equation in point-slope form that represents the function. Then find the amount of water that will be left in the ship's tanks 60 days after leaving port. 1=3555
8=3240
15=2925

The line with slope m that contains the point (x1, y1) can be described by the equation

y − y1 = m(x − x1). In a real-world linear situation, you may have information that represents two points on the line. You can write an equation in point-slope form that represents the situation and use that equation to solve a problem.

Let x represent the number of days since the ship left port and y represent the number of gallons of water.

Two points on the line are (8,3240) and (1, 3555).

m=  

3555 − 3240

1 − 8

 =  

315

−7

 = −45

y − y1=m(x − x1)Point-slope form.

y − 3555=−45(x − 1) or y − 3240 = −45(x − 8)

y − 3555=−45(60 − 1)Substitute for x.

y − 3555=−2655Simplify the right side.

y=900Solve for y.

900 gallons of water will be left after 60 days.

Hope this helped! (I didn't do it sooner cause I just did the quiz lol)

step-by-step explanation:

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.