Shelby wants to buy 10 yards of fabric that costs $2.49 per yard. How much money will Shelby need to purchase all the fabric? $2
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This means that the number of stray cats in a town when the town started the animal control program is 729.
<h3>Exponential function</h3>An exponential function is given by:
y = abˣ
Let y, x are variables, a is the initial value and b is the multiplication factor.
Where f is the number of stray cats in a town t years since the town started an animal control program.
Since
f(0) = 729(1/3)° = 729
This means that the number of stray cats in a town when the town started the animal control program is 729.
Find out more on Exponential function at: brainly.com/question/12940982
Answer:
Correct options are B, C and E.
Step-by-step explanation:
From the graph, we see that,
A. The graph is a decreasing as the number of years are increasing.
So, the function is not representing an exponential growth.
B. From the graph, we see that,
At 0 years, the function value is at 500,000.
Thus, there was $500,000 initially when the owner started making withdrawals
C. From the graph, we see that,
At 10 years, the function value is at 300,000.
Thus, after 10 years, there is exactly $300,000 left in the account.
D. We have that, <em>'The amount that the owner withdraws is given by the slope of the points'.</em>
So, the slope at different points is given by,
So, the amount withdrew each year is not same.
E. As, the y-axis represents the amount of money remaining when the owner started withdrawing.
<em>The y-intercept is the point when the graph crosses y-axis i.e. when x = 0.</em>
So, the y-intercept represents the amount of money withdrew at 0 years.
Thus, y-intercept represents the amount of money in the account when the owner started making withdrawals.
Hence, the correct options are B, C and E.
Using the x-intercept and y-intercept of the equation, the graph of the equation is shown below
From the question, we are to graph the given equation
The given equation is
10.50a + 7.50c = 141
To graph the line, we will plot the variable a on the x-axis and the variable c on the y-axis of the cartesian plane.
Now, we will the determine the x-intercept and the y-intercept.
The x-intercept is the point where c = 0; and y-intercept is the point where a = 0
Determine the x-intercept
10.50a + 7.50c = 141
10.50a + 7.50(0) = 141
10.50a = 141
a = 141/10.50
a = 13.43
The x-intercept is (13.43, 0)
Determine the y-intercept
10.50(0) + 7.50c = 141
7.50c = 141
c = 141/7.50
c = 18.80
The y-intercept is (0, 18.80)
Hence, using the x-intercept and y-intercept of the equation, the graph of the equation is shown below
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