Question

The company Road Grit, manufactures outdoor footwear against its rival company Fit ON. Let r(x) represent the profit of Road Grit (in dollars), and let f(x) represent the profit of Fit ON (in dollars), where x is the number of years since production began in 1980.If the profit of Fit ON is always 2.5 times as large as the profit of Road Grit, write the function f using the function r.If the profit of Fit ON is always $500,000 more than the profit of Road Grit, write the function f using the function r.If the profit of Fit ON today is always the same as the predicted profit of Road Grit, 4 years from now, write the function f using the function r.

Answer 1

The profit function of the company Road Grit is given as

`r(x)`

While the profit function of the company Fit ON is given as

`f(x)`

If the profit of Fit ON is always 2.5 times as large as the profit of Road Grit, the the profit function of Fit ON shall be expressed as follows;

`f(x)=r(x)2.5`

If the profit of Fit ON is always $500,000 more than the profit of Road Grit, the profit function of Fit ON shall be;

`f(x)=r(x)+500000`

If the profit of Fit ON today is as always the same as the predicted profit of Road Grit, 4 years from now the profit function of Fit ON shall be;

`f(x)=r(x+4)`