The only true statement is: A. For every degree increase in temperature, the average amount of water consumed increases by 0.0875 gallons.
A. For every degree increase in temperature, the average amount of water consumed increases by 0.0875 gallons.
This statement is true. The equation includes a coefficient of 0.0875 in front of the temperature variable (t). This coefficient represents the slope of the line, which indicates the rate of change of water consumption with respect to temperature. Since the coefficient is positive, it signifies a positive correlation, meaning an increase in temperature leads to an increase in water consumption. Additionally, the value of 0.0875 represents the exact amount of increase in water consumption per degree.
B. When the temperature is below 74 degrees, the team consumes no water.
This statement is false. While the equation doesn't explicitly state a minimum temperature for water consumption, the y-intercept (the point where the line crosses the y-axis) doesn't represent zero water consumption. In this case, the y-intercept is -0.45, meaning the team consumes some water even at the lowest temperature.
C. When the temperature is 90 degrees, the team consumes somewhere between 7 gal and 7.2 gal of water.
This statement is false. To find the water consumption at 90 degrees, we can plug t = 90 into the equation:
w = 0.0875 * 90 - 0.45 ≈ 7.83
Therefore, the team consumes approximately 7.83 gallons of water at 90 degrees, not between 7 and 7.2 gallons.
D. The amount of water consumed by the team decreases by 0.45 gallons for every degree the temperature falls.
This statement is false. The equation shows a positive relationship between temperature and water consumption. Therefore, decreasing the temperature doesn't lead to a decrease in water consumption by a constant value of 0.45 gallons.
Therefore, the only true statement is A. The other statements are either incorrect or misleading based on the provided information about the graph and equation.