The rate of change for the function on the table is; 15 grapes eaten per minute.
<h3>What is the rate of change of the function described by the table?</h3>
It follows from the complete question that the table given indicates that;
- after 1min, 15 grapes had been eaten,
- after the next minute, 30 grapes had eaten,
- after the 3rd minute, 45 grapes had already been eaten.
On this note, it is conclusive that the rate of change of the function represented by the table is; 15 grapes eaten per minute.
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Answer:
y-intercept: (0, 5/2)
x-intercept: (5/3, 0)
Step-by-step explanation:
The y-intercept is found by setting x=0 and dividing by the coefficient of y.
0 +2y = 5
y = 5/2
The x-intercept is found by setting y=0 and dividing by the coefficient of x.
3x +0 = 5
x = 5/3
The intercepts are ...
y-intercept: (0, 5/2)
x-intercept: (5/3, 0)
Answer:
Equation of the circle =
80 = ( x - 1)^2 + (y + 1)^2
Step-by-step explanation:
Center = (1 , -1)
Point = ( 5 , 7)
Eqn of a circle is
r^2 = (x - h)^2 + (y - k)^2
We are not given the radius of the circle, fortunately we are provided the information that the circle contains a point ( 5, 7), so we use the above information to find r
Using the center (1, -1)
h - 1
k - -1
r^2 = (x - 1)^2 + ( y - -1)^2
r^2 = (x - 1)^2 + (y + 1)^2
With the point ( 5,7)
x = 5
y = 7
r^2 = ( 5 - 1)^2 + ( 7 + 1)^2
= 4^2 + 8^2
= 16 + 64
= 80
r^2 = 80
r = square root of 80
r = 8.94
The r = 8.94 , which means the equation of the circle is
80 = (x - 1)^2 + ( y + 1)^2
Using proportions, it is found that the Customer Acquisition Cost was of $1,215.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount.
In this problem, the customer acquisition cost is the spending in sales divided by the number of customers added.
80 customers were added, considering costs of 1200 + 9000 + 87000 = $97,200, hence:
97200/80 = $1,215.
More can be learned about proportions at brainly.com/question/24372153
