Question

The heart rate of a person can be modeled by the function r(a)=211−0.64a
where a
is the person's age in years and r(a)
is heartbeats per minute. The life span in minutes of a person is modeled by the function s(a)=525,600a
.

Explain what (r⋅s)(a)
represents.

(1 point)
Responses

​​​​​​the total number of heartbeats in a lifetime of a person who is a
years old
​​​​​​the total number of heartbeats in a lifetime of a person who is A years old

the total number of heartbeats in a lifetime of a person who is a
minutes old
the total number of heartbeats in a lifetime of a person who is A minutes old

the heart rate of a person who is a
years old
the heart rate of a person who is A years old
Question 3
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Describe what types of function can be used to describe each part of the following situation:

You jumped from a high ledge into a pool of water, then swam to the other side of the pool and climbed up a ladder at a constant rate to get out of the pool. Compare your height around the surface of the pool water to the time.

(3 points)
The initial jump would be represented by a
function.

The swim across the pool would be represented by a
function because there is no height change.

Climbing the ladder would be represented by a
function due to the constant rate and height change.

Answer 1

For (r·s)(a): the total number of heartbeats in a lifetime of a person who is a years old.

Question 3 — types of functions:
- The initial jump would be represented by a quadratic function. (position under gravity varies quadratically with time)
- The swim across the pool would be represented by a constant function. (height does not change)
- Climbing the ladder would be represented by a linear function. (height increases at a constant rate)