If you borrow $700 for 5 years at
1 answer:
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Answer: Average rates of change for Bird A is 0.045 and for Bird B is 3.816.
Step-by-step explanation: Through its graph, a function can be analyzed and be identified its attributes. Average Rate of Change is the ratio of change in the function values to the change of x-value, i.e., it is the slope of the function in a specific interval of x. With the Average it is possible to compare two function.
<u>Average Rate of Change</u>
<em><u>Bird A</u></em>:
For the interval [0,18]:
x₁ = 0 f(0) = 8.3
x₂ = 18 f(18) = 9.1
Average =
Average =
Average = 0.045
<em><u>Bird B</u></em>: y = 3.6(1.06)x
For the interval [0,18]:
x₁ = 0 y = 3.6(1.06)0 = 0
x₂ = 18 y = 3.6(1.06)18 = 68.7
Average =
Average =
Average = 3.816
The Average Rate for Change for Bird A is 0.045 and for Bird B is 3.816. This means that the population of Bird B increase in rate faster than the population of Bird A.
The total distance is an illustration of a linear function.
<u>(1) Why the relationship is a function</u>
The relationship is a function because all input values of h, have exactly one corresponding output value of d
<u>(2) The function type</u>
The function is a discrete function, because the number of hours is an integer, and it cannot take decimal values (in this case)
<u>(3) The domain for a drive of 8 hours</u>
The domain is the set of time the girls drive.
So, the domain is: [0,8]
<u>(4) The range</u>
The function is given as:
When h = 0,
When h = 8,
So, the range is: [10,450]
<u>(5) The graph</u>
See attachment
<u>(6) The slope</u>
A linear function is represented as:
Where:
m represents the slope.
So, by comparison:
The slope in this case represents the distance travelled per hour
<u>(7) The y-intercept</u>
In (6) above, c represents the y-intercept.
So, by comparison:
The y-intercept in this case represents the initial distance
Read more about linear functions at
