inequality word probs: no less than $6K, no more than $10K

Quadratic equations and inequalities, variation equations, function notation, systems of equations, etc.
meljohnson2008
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inequality word probs: no less than $6K, no more than $10K

Postby meljohnson2008 » Sat Aug 21, 2010 12:58 am

1. You are planning to spend no less than $6,000 and no more than $10,000 on your landscaping project.

a. Write an inequality that demonstrates how much money you will are willing to spend on the project.

b. For the first phase of the project, imagine you want to cover the backyard with decorative rock and plant some trees. You need 30 tons of rock to cover the area. If each ton costs $60 and each tree is $84, what is the maximum number of trees you can buy with a budget of $2,500? Write an inequality that illustrates the problem and solve. Express your answer as an inequality and explain how you arrived at your answer.

c. Would five trees be a solution to the inequality in Part b? Justify your answer.

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stapel_eliz
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Postby stapel_eliz » Sat Aug 21, 2010 8:24 pm

a) What inequality symbol stands for "no less than"?

What inequality symbol stands for "no more than"?

Put your variable between these two symbols, with the appropriate values on either side.

b) Given the per-ton cost of rock and the required total number of tons, what is the total cost of the rock?

How much then is left, maximum, for the trees?

What inequality symbol stands for "no more than"?

If you get stuck, please reply showing your work for the answers above. Thank you! :wink:



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