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In one hour, you can earn 350 points in your favorite video game. You already have 1050 points. a) Write an inequality where y is the total number for points and x is the number of hours. b) Your goal is 2450 points. What is the least number of hours to reach this goal?

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SOLUTION

The initial points is 1050

The points earned per hour is 350

The total point y earned in x hours is:

[tex]y\ge350x+1050[/tex]

Substitute y=2450 into the inequality

[tex]2450\ge350x+1050[/tex]

Solve for x

[tex]\begin{gathered} 2450-1050\ge350x \\ 1400\ge350x \\ x\le4 \end{gathered}[/tex]

Therefore the lease number of hours is 4.

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