Y varies directly as x and z. Y is equal to 16 when x=2 and z=4,find Y when x=1 and z=7
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Answer:
The correct answer is 10 units.
Step-by-step explanation:
Profit function of a small business is given by P(x) = 0.3 + 7x - 40, where x is the number of units sold.
The small business intend to make a profit of $60.
To find out the number of units the business has to sell in order to have a profit of $60 is given by,
P(x) = 0.3 + 7x - 40 = 60
⇒ 0.3 + 7x - 100 = 0
⇒ 3 + 70x - 1000 = 0
⇒ x = -70 ± ×
⇒ x = -70 ± 130 ×
⇒ x = 10 or -
Quantity sold cannot be negative giving us the value of x as 10 units.