To solve the problem, we analyze the scatter plot and determine the values for each statement:

Step-by-step analysis:

1. Choice 1: Does the fuel increase or decrease?
   From the scatter plot, as the number of hours increases, the gallons remaining decreases.

   • Correct answer: 2. decreases

2. Choice 2: Determine the rate at which the truck uses fuel.
   To find the rate of fuel usage, we calculate the slope of the line connecting the points:
   $\text{Slope} = \frac{\text{Change in gallons}}{\text{Change in time}}$
   Using the points $(1, 114)$ and $(4, 81)$:
   $\text{Slope} = \frac{81 - 114}{4 - 1} = \frac{-33}{3} = -11 \, \text{gallons per hour.}$
   The rate is 11 gallons per hour (negative because it decreases).

   • Correct answer: 2. 11

3. Choice 3: Determine the maximum fuel in the tank.
   The starting point at hour $t = 0$ can be found by extending the line back.
   The equation of the line is:
   $y = -11x + b$
   Substituting $x = 1$ and $y = 114$:
   $114 = -11(1) + b \implies b = 125.$
   The y-intercept $b = 125$ represents the maximum gallons in the tank.

   • Correct answer: 2. 125

Final Answers:

• Choice 1: 2. decreases
• Choice 2: 2. 11
• Choice 3: 2. 125

Let me know if you need more clarification or a breakdown of any part!

Related Questions:

1. How do you calculate the slope of a line given two points?
2. What is the equation of a line in slope-intercept form?
3. How can a scatter plot be used to predict future values?
4. Why is the slope negative in this case?
5. How do you interpret the y-intercept in a real-world context?

Tip:

To identify the rate of change from a graph, always calculate the slope using two points on the line: $\text{slope} = \frac{\text{change in y}}{\text{change in x}}$.