Question

Anna is draining water out of a 50 gallon rain barrel. The graph shows the relationship between time in minutes and the gallons of water remaining in the barrel.
A graph is shown in the xy-plane. The x-axis is labeled as Time left parenthesis minutes right parenthesis and the y-axis is labeled as Gallons of Water Remaining in Rain Barrel. The values on the x-axis range from 0 to 18 in increments of 2 and the values on the y-axis range from 0 to 45 in increments of 5. A line starts from a point 50 on the y-axis goes down and ends at a point 20 on the x-axis.

Write an inequality showing the times there will be less than 35 gallons remaining in the rain barrel.

Answer 1

Answer:

6 < x ≤ 20

Step-by-step explanation:

First, let's use the points (0, 50) and (20, 0) to find the equation of the line.

m = Δy / Δx

m = (0 − 50) / (20 − 0)

m = -2.5

y = -2.5x + 50

Now find the time when y = 35.

35 = -2.5x + 50

-15 = -2.5x

x = 6

So there is less than 35 gallons in the barrel when 6 < x ≤ 20.