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What is the initial value of the function? a. What is the constant rate of change (slope) Servings, x 1 2. 3 Protein, y (grams) 10 20 30 What does it mean in the context of the problem

What is the initial value of the function? a. What is the constant rate of change-example-1
User Yonatanmn
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1 Answer

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a. The slope is m =10

b. The initial value is the y-intercept. As this linear function, the line intercepts at the origin then the initial value is zero (0).

c. It means that the amount of proteins is proportional to the number of servings. And each serving has 10 grams of protein.

1) Let's pick two points, of that table to find out the slope between those points:

(1,10) and ( 2,20)

2) Plugging those points into the slope formula we have:

Let's now find out the rule of that function, plugging point (1,10) into the slope-intersect formula:

(1,10)

y=mx +b

10=10(1) +b

10-10= b

b=0

y =10x

3) The answers are:

a. The slope is m =10

b. The initial value is the y-intercept. As this linear function, the line intercepts at the origin then the initial value is zero (0).

c. It means that the amount of proteins is proportional to the number of servings. And each serving has 10 grams of protein.

What is the initial value of the function? a. What is the constant rate of change-example-1
User Aitana
by
2.8k points
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