The scatter plot shows the amount of water in a tank as measured every few minutes.

The initial amount of water in the tank was

__ gallons. The line of best fit shows that about

___ gallons of heater lost per minute. The tank will be empty in about __ minutes.



first __ options: 0,20,100,120


second __ options: 4/3, 3/4, 2/3, 1/2


third __ options: 0, 60, 80, 90


Sagot :

he initial amount of water in the tank was 120 gallons, 1.33 gallons of water is lost per minute and the tank would be empty in 90 minutes.

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where m  is the rate of change (slope) and b is the initial value of y.

Let y represent the amount of water in tank after x minutes.

From the graph, the y intercept is at 120 gallons. This means that the initial amount of water in the tank was 120 gallons,

The line passes through (0, 120) and (30, 80):

slope = (80 - 120) / (30 - 0) = -1.33

1.33 gallons of water is lost per minute.

The equation of the line is y = -1.33x + 120

For y = 0:

0 = -1.33x + 1200

x = 90

The tank would be empty in 90 minutes.

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