Toby writes an exponential function f(x) that meets the following two conditions:

1 answer:

5 0

II. f(x) doubles for each increase of 1 in the x values. Thus, r must be 2, and so we our ar^1 = 6 from ( I ) above becomes f(x) = a*2^x. Applying the restriction ar^1 = 6 results in f(1) = a*2^1 = 6, or a = 3.

Then f(x) = ar^x becomes f(x) = 3*2^2 (Answer A)

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Let fat be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 121 + 1.42x?

emmasim [6.3K]

Using <u>linear function concepts</u>, it is found that the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which represents by how much y changes when x changes by 1.
b is the y-intercept, which is the value of y when x = 0.

In this problem:

The explanatory variable fat is the input.
The response variable calories is the output.

The equation is:

$y = 121 + 1.42x$

The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.
The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.

Thus, the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A similar problem is given at brainly.com/question/16302622

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2 years ago

Write the equation of the line parallel to y=6 that passes through the point (2, -3).

Zanzabum

Answer:

-3=(1/2)(2)+3

Step-by-step explanation:

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2 years ago

What kind of angle is this and how do you work it out?

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