Question 1159947
the company makes a profit of 12,000 on the first 500 radios sold.


when 7000 are sold at the same price, then the profit would be 12,000 / 500 * 7000 = 168,000.


another way to say it is that 12,000 / 500 = a profit of 24 for each raio sold.


7000 * 24 = a total profit of 168,000.


you can also solve this by using the direct variation formula of y = k * x.


y is the profit and x is the number of radios sold.


first you solve for k using the values you know.
then you solve for y with  the new value of x.


when y = 12000 and x = 500, the formula becomes 12,000 = k * 500
solve for k to get k = 12,000 / 500 = 24


when x = 7000, use the formula with the constant of variation that is equal to 24 to get y = 24 * 7000.
solve for y to get y = 168,000.


you can also solve this by using the direct ratio formula of 12,000 / 500 = x / 7000.
cross multiply to get 12,000 * 7000 = 500 * x
solve for x to get x = 12,000 * 7000 / 500 = 168,000.