Question

Mrs. Galicia sells online math and reading games. Her revenue for each game (in dollars) is modeled by the given equations, where x is the number of days since the games went on sale.

Math Game: M(d)=x²-9x-10
Reading Game: R(d)=2x+10
Solve the system algebraically. After how many days is the revenue for each game the same? Show your work and explain your answer.Graph this system to show the solutions. Label each axis appropriately.

Answer 1

The number of days for which the revenue for each game is the same is:

13 days

How to solve the system of algebraic equations?

Revenue is the amount of money made from selling a particular amount of products.

Given that the revenue is given by:

Math Game: M(d) = x² - 9x - 10

Reading Game: R(d) = 2x + 10

For both games to have the same revenue, hence:

M(d) = R(d)

x² - 9x - 10 = 2x + 10

x² - 11x - 20 = 0

x = -1.6 or x = 12.6

Since the number of days cannot be negative, hence it takes about 13 days for the revenue for each game the same.