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3 years ago

PART 1. HERE ARE THE NUMBERS I CAME UP WITH I JUST NEED THE REST DONE!!!

Mathematics

1 answer:

jarptica [38.1K]3 years ago

4 0

Answer:

Part 2

The rate of change is 1 in increase in forearm length per 1 inch increase in foot length

Part 3

1) Foot length = 17.922 in.

2) The rate of change of the equation y = 0.860·x + 3.302 in part A is 0.860

3) No the data does not correspond with part A

4) The data presented here has a greater rate of change

5) Different data sources

6) Yes

7) Yes

Step-by-step explanation:

Part 2

The data are as follows

Forearm Foot

9.25 8.5

10.25 9.5

9.75 9

10.75 10

8.75 8

To find the rate of change, we have;

For points

(x₁, y₁) = (9.25, 8.5) and (x₂, y₂) = (8.75, 8) we have;

Rate of change = (y₂ - y₁)/(x₂ - x₁) substituting the values we arrive at

(8.75 - 9.25)/(8 - 8.5) = 1

The rate of increase of foot to forearm is 1 to 1. That is there is an increase of 1 in in forearm length for every inch increase in foot length

The rate of change is 1 in increase in forearm length per 1 inch increse in foot length

Part 3

1) For a person with length of forearm, x = 17 inches long, we have;

Length of foot, y = 0.860·x + 3.302

Plugging in the values, we have;

y = 0.860×17 + 3.302 = 17.922 in.

2) The rate of change of the equation y = 0.860·x + 3.302 in part A is 0.860

3) No the data does not correspond with part A

4) The rate of change from part A = 0.860, Therefore, the data presented here has a greater rate of change

5) The values are different because of they are derived from a non corresponding sources

6) Yes the relation is a function because the length of the foot is a function of the length of the forearm

From the equation of a straight line, we have;

y = mx + c

Where:

m = Slope = 1

Therefore; for forearm, y = 9.25, we have

9.25 = 1×8.5 + c

∴ c = 9.5 - 8.5 = 1

The equation of the function becomes;

y = x + 1

7) for the equation in part A given by

y = 0.860·x + 3.302

Yes the equation in part A can represent a function because it maps each value of x to a unique value of y

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