Awater tank already contains 55 gallons of water in baxter begins to fill it. water flows into the tank at a rate of 8 gallons per minute. write a linear equation to model this situation. find the volume of the water in the sink 25 minutes after baxter begins filling the tank.

Linear equation: 55+8(x)=y

Volume in the sink after 25 min= 255 gallons

Step-by-step explanation:

The amount at the beggining is 55 gallons and is not changing

the water filling the tank is changing increasing 8 gallons per minute

the independent variable is the minutes and we can represented with the x

the dependent variable is the amount at the end of the minutes and we can represented with the y

The linear equation is 55+8x=y

With this equation we can find the volume after 25 minutes

=55+8*25

=255

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2