how do i solve this?
When x number of units are sold, the price of each unit (in dollars) is given by . Find the unit price when the following quantities are sold: 2,7,9,11.
You seem to have omitted an equation after the word "by"
the equation is :
p= -x/2 + 75
If p = -x/2 + 75 ,
then when x (which is the number sold) = 2,
p (which is the price per unit) = 75 - 2/2 = $74
Do the others the same way.
When x = 11, the price is 75 - 11/2 dollars = $69.50
To solve this problem, you can use the given equation p = -x/2 + 75, where p represents the price per unit (in dollars) and x represents the number of units sold.
To find the unit price when the following quantities are sold: 2, 7, 9, and 11, you can substitute each value of x into the equation and solve for p.
Let's go through the steps one by one:
1. When x = 2:
Substitute x = 2 into the equation:
p = -2/2 + 75
p = -1 + 75
p = 74
So, when 2 units are sold, the price per unit is $74.
2. When x = 7:
Substitute x = 7 into the equation:
p = -7/2 + 75
p = -3.5 + 75
p = 71.5
Therefore, when 7 units are sold, the price per unit is $71.50.
3. When x = 9:
Substitute x = 9 into the equation:
p = -9/2 + 75
p = -4.5 + 75
p = 70.5
Thus, when 9 units are sold, the price per unit is $70.50.
4. When x = 11:
Substitute x = 11 into the equation:
p = -11/2 + 75
p = -5.5 + 75
p = 69.5
Hence, when 11 units are sold, the price per unit is $69.50.
By substituting each value of x into the given equation, you can find the unit price (p) for each quantity of units sold.