Question

The linear equation c=0.1998s+76.4520 models the number of calories c in a beef hot dog as a function of the amount of sodium s, in milligrams, in the hot dog. What is the slope, and what does it mean in this context?

Answer 1

Answer: The slope of the linear equation is 0.1998.

It means that the calories in a beef hot dog is increasing with the rate of 0.1998 calories per milligram of sodium.

Explanation:

Given : The linear equation
`c=0.1998s+76.4520` models the number of calories c in a beef hot dog as a function of the amount of sodium s, in milligrams, in the hot dog.

Here, c is a dependent variable on the variable s.

The standard form of linear equation with slope 'm' is give by :-

`y=mx+c`, where y is a dependent variable on the variable x.

As compared to the given linear equation, we get the slope of the given linear equation :-

`m=0.1998`

It means that the calories in a beef hot dog is increasing with the rate of 0.1998 calories per milligram of sodium.