Question

The slope is ___

A) 1
B) -1
C) Undefined
D) 0

While the y-intercept is ____
A) 0
B) Undefined
C) 1
D) -1

This graph represents a cooler which weighs ___ when empty, and adding ___ of weight with each cup of sports drink added.
A) 10 kg, 5 kg
B) 5 kg, 10 kg
C) 0 kg, 2 kg
D) 2 kg, 0 kg

Answer 1

The slope of the line from Figure A1 is 3 and the y-intercept is 9, but none of the provided multiple-choice answers match these values. The graph represents a cooler weighing 9 kg when empty, adding 3 kg with each cup of sports drink, which is also not listed in the options.

Step-by-step explanation:

According to the information provided from Figure A1, we can determine that the slope of the line is 3. This is because the line shows a rise of 3 on the vertical axis for every increase of 1 on the horizontal axis. Therefore, none of the options A) 1 B) -1 C) Undefined D) 0 are correct for the slope; the correct slope value is not provided in the choices. For the y-intercept, the point where the line intersects the y-axis is 9. So again, none of the options A) 0 B) Undefined C) 1 D) -1 match the given y-intercept; the correct y-intercept is also not provided in the choices. The graph represents a cooler which weighs 9 kg when empty, since that is the y-intercept, and each cup of sports drink adds 3 kg, given by the slope. Unfortunately, none of the options A) 10 kg, 5 kg B) 5 kg, 10 kg C) 0 kg, 2 kg D) 2 kg, 0 kg correctly describe the cooler's weight and the weight per cup of sports drink.