6 Books
$77.49 is the Total.
$3.99 is the Shipping.
$12.25 is the cost of each individual book.
First find the difference between the total and the shipping.
$77.49 - $3.99 = $73.50
Then divide the product with the cost of each book.
$73.50 ÷ $12.25 = 6 Books
The
<u>correct answer</u> is:
The relationship is linear, and the equation is
y-5 = 2(x+7).
Explanation:
To determine if the relationship is linear, we find the slope between each pair of points. Slope is given by the formula:
The slope between the <u>first two points</u> is given by:
The slope between the <u>second pair of points</u> is given by:
The slope between the <u>third pair of points</u> is given by:
Since the <u>slope is the same</u> throughout the data, the <u>relationship is linear</u> and the slope is 2.
To write the equation, we use point-slope form, which is:
y-y₁ = m(x-x₁)
Using the first point, we have:
y-5 = 2(x--7)
y-5 = 2(x+7)
Answer:
Account A: Decreasing at 8 % per year
Account B: Decreasing at 10.00 % per year
Account B shows the greater percentage change
Step-by-step explanation:
Part A: Percent change from exponential formula
f(x) = 9628(0.92)ˣ
The general formula for an exponential function is
y = ab^x, where
b = the base of the exponential function.
if b < 1, we have an exponential decay function.
ƒ(x) decreases as x increases.
Account A is decreasing each year.
We can rewrite the formula for an exponential decay function as:
y = a(1 – b)ˣ, where
1 – b = the decay factor
b = the percent change in decimal form
If we compare the two formulas, we find
0.92 = 1 - b
b = 1 - 0.92 = 0.08 = 8 %
The account is decreasing at an annual rate of 8 %.The account is decreasing at an annual rate of 10.00 %.
Account B recorded a greater percentage change in the amount of money over the previous year.