Steven investigates the amount of damage to the head gaskets on the trucks in his fleet and finds that the damage index depends on the ambient temperature. He develops the equation y = -2/3x + 14 to model the relationship. If the temperature increases 1 degree, what happens to the damage index for the head gasket?

AIt decreases by 14 points.
BIt decreases by 21 points.
CIt decreases by 0.047 points.
DIt decreases by 2/3 of a point.

Verified Answer :

The correct answer for the question that is being presented above is this one: "D) It decreases by 2/3 of a point." Steven investigates the amount of damage to the head gaskets on the trucks in his fleet and finds that the damage index depends on the ambient temperature.

Answer:

d

Step-by-step explanation:

Since temperature is the independent variable then each increase by one point results in a

2

3

increase in the damage index. Therefore, It decreases by

2

3

of a point.