Answer:
Step-by-step explanation:
Given
-- initial area
-- rate
--- (years)
Required
Represent as an exponential function
An exponential function has the form:
Where
and
Substitute values for a and b, we have:
Convert percentage to decimal
Hence, the exponential function that represents the scenario is:
Function: y = 2x²-5
<u>Find y-intercept:</u>
y = 2(0)²-5
y = -5
<u>Find x-intercept:</u>
2x²-5 = 0
2x² = 5
x² = 2.5
x = ±√2.5
x = -1.5811 , 1.5811
Graph plotted:
Answer:
For the table on the left the rate of change is
For the table on the left the rate of change is
Step-by-step explanation:
The range of change is the slope. The slope can be found with the following formula:
<u>For the table on the left</u>
Choose two points. In this case you can choose (-1,-24), (4,90)
You can say that:
Substituting these values into the formula, you get:
<u>For the table on the right</u>
Choose two points. You can choose (3,-6), (-6,12)
You can identify that:
Substituting these values into the formula, you get: