The annual sales of Crimson Drug Store are expected to be given by million dollars t yr from now, whereas the annual sales of Cambridge Drug Store are expected to be given by million dollars t yr from now. When will Cambridge's annual sales first surpass Crimson's annual sales?

Question

The annual sales of Crimson Drug Store are expected to be given by  million dollars t yr from now, whereas the annual sales of Cambridge Drug Store are expected to be given by  million dollars t yr from now. When will Cambridge's annual sales first surpass Crimson's annual sales?

Quizplus · Accepted Answer

Let x be the number of years it takes for Cambridge's sales to exceed Crimson's sales. Then we can set up the following equation:
11.6 + 0.07x > 11.1 + 0.04x
Simplifying this equation, we get:
0.03x > 0.5
x > 16.67
Since we are looking for the number of years it takes for Cambridge's sales to first exceed Crimson's sales, we round up to the nearest whole number and get:
x = 17
Therefore, it will take Cambridge 17 years to first surpass Crimson's annual sales.

The Annual Sales of Crimson Drug Store Are Expected to Be