A researcher for an environmental agency is investigating fuel economy. She has developed a linear model for highway gas mileage, g, in terms of the vehicle weight, w, in thousands of pounds using a representative sample of car types. The equation is g=−6.035w+46.33

Interpret the slope of this equation.(1 point)
Responses

The model predicts that an increase of 1,000 pounds in weight causes an increase of 6.035 miles per gallon.
The model predicts that an increase of 1,000 pounds in weight causes an increase of 6.035 miles per gallon.

The model predicts that an increase of 1,000 pounds in weight causes an increase of 46.33 miles per gallon.
The model predicts that an increase of 1,000 pounds in weight causes an increase of 46.33 miles per gallon.

The model predicts that an increase of 1,000 pounds in weight causes a decrease of 6.035 miles per gallon.
The model predicts that an increase of 1,000 pounds in weight causes a decrease of 6.035 miles per gallon.

The model predicts that an increase of 1,000 pounds in weight causes a decrease of 46.33 miles per gallon.
The model predicts that an increase of 1,000 pounds in weight causes a decrease of 46.33 miles per gallon.

The correct interpretation is:

The model predicts that an increase of 1,000 pounds in weight causes a decrease of 6.035 miles per gallon.