6. kahari buys cases of childrens books and sells the books individually online. he asks a friend of his to…
6. kahari buys cases of childrens books and sells the books individually online. he asks a friend of his to come up with an equation showing how much profit he makes as a result of the number of books he sells from each box. his friend came up with the equation $p = 2b-400$. answer the following; be specific.\na) what does the 2 represent?\nb) what does the -400 represent?\nc) what does the b represent?\nd) what does the p represent?\n7. if a ball is thrown vertically upward by a person standing on the group, the velocity of the ball (v) in feet per second (t) is $v = 72 - 32t$. answer the following; be specific.\na) what does the 72 represent?\nb) what does the -32 represent?\nc) what does the t represent?\nd) what does the v represent?
Answer
Brief Explanations:
6.
a)
In the profit - equation $P = 2B-400$, the 2 represents the profit per book. For each book (represented by $B$) sold, Kahari makes a profit of 2 units (could be dollars, for example).
b)
The - 400 represents the fixed cost. It is the amount of money Kahari has already spent (e.g., on buying the cases of books) before selling any books, so it reduces the profit.
c)
$B$ represents the number of books sold. It is the variable input that affects the profit $P$.
d)
$P$ represents the total profit. It is the amount of money Kahari makes after subtracting the fixed cost from the revenue obtained by selling the books.
7.
a)
In the velocity - time equation $V = 72-32T$, the 72 represents the initial velocity of the ball. When $T = 0$ (at the moment of throwing), the velocity of the ball is 72 feet per second.
b)
The - 32 represents the acceleration due to gravity. The negative sign indicates that the acceleration is in the opposite direction of the initial velocity (downward), and the value 32 feet per second² is the approximate value of the acceleration due to gravity near the Earth's surface.
c)
$T$ represents the time in seconds. It is the independent variable that determines the velocity of the ball at any given moment after it is thrown.
d)
$V$ represents the velocity of the ball in feet per second at a given time $T$ after it is thrown vertically upward.