Question

A large tank was filled with water at a constant rate. The time and amount were recorded in the table.

Complete the table below to show how many gallons of water are in the tank after 335 and 405 minutes?

Time (minutes) 5 110 215 260 335 405
Amount (gallons) 1 22 43 52

Answer 1

67 gallons at 335 minutes

81 gallons at 405 minutes

Explanation:

I plotted the points and determined they form a straight line, with a slope of 3 and a y-intercept of 0.

In the form of y=mx+b,

this fill behavior can be represented as y = (1/5)x + 0, or y = (1/5)x

y is the volume in gallons and x is the time in minutes. The slope, (1/5), is the rate of filling the tank, in gallons/minute.

The solutions for 335 and 405 minutes may be found either by marking them on the graph (attached), of by simple calculation:

At 335 minutes, y = (1/5)(335), or 67 gallons

At 405 minutes, y = (1/5)(405) = 81 gallons