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:

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:

- 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
By definition of supplementary angles,
∠ABD + ∠BDE = 180
5x + 17x - 18 = 180
22x = 198
x = 9
∠ABD = 5(9) = 45°
∠BDE = 180 - 45 = 135°
Answer:
One Triangle = 2.09 in²
Two Triangles = 4.18 in²
Rectangle = 17.48 in²
Total area of whole trapezoid = 21.66 in²
Step-by-step explanation:
Since it was not clarified which region is shaded we will just find the area of each individual part of the shape.
Let's start with the triangles.
1. To find the area of a triangle, the formula is
. It is given that the base of one triangle is equal to 1.1 in and the height is equal to 3.8 in., so in the equation, it would look like:
in²
2. So now that we know one triangle is equal to 2.09 in², we now know that the other triangle is equal to the same area. To find the total of the two triangles you need to multiply the area by 2:
in²
Moving on to the rectangle...
1. To find the area of the rectangle we need to use the formula base times height or b x h. It is given that the height is 3.8 in while the length is 4.6 in. So in the equation it would look like:
in²
Now to find the total area of all shapes combined...
1. To do this, we just need to add up all the areas we found, so...
17.48 + 4.18 = 21.66 in²