Inequalities Word Problems
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Eighth Grade: Inequalities Word Problems
Absolute Value Inequalities
Your supervisor allows you to "clock-in" for your 8a.m. shift give or take 15 minutes. Let x=8 represent 8 a.m. and x=14.5 represent 2:30...
A mixture weighing not more than 78 oz of food A
A mixture weighing not more than 78 oz of food A, and food B is to be made so that it contains at last 12 oz of nutrient per unit and the weight of 1 unit is 3 oz. in food B there is 4 oz. If there are x units of food A and y units of food B in the ...
Clark is having a party at his house
Clark is having a party at his house. His father has allowed him to spend at most $20 on snack food. He'd like to buy chips that cost $4 per bag, and pretzels that cost $2 per ...
A person with no more than $25,000 to invest
A person with no more than $25,000 to invest plans to place the money in two investments. One investment is high risk, high yield; the other is low risk, low yield. At least $6000 is to be placed in the high-risk investment. Furthermore, the amount invested at low risk should be at least three times the amount invested at high risk. Find and graph a system of inequalities that describes all possibilities for placing the money in the high- and low-risk investments. Assume x to be high risk, high yield investments and y to be low ...
Students in the school band
Students in the school band are selling calendars. They earn $.40 on each calendar they sell. Their goal is to earn more than $327...
Abigail drove h hours
Abigail drove h hours at rate of 55 mi/h. She did not reach her goal of driving 385 miles for the ...
Animal feed is to be made from corn
Animal feed is to be made from corn and soybeans. One pound of corn has 30 units of fat and 20 units of protein, and one pound of soybeans has 20 units of fat and 40 units of ...
Anne buys a plant
Anne buys a plant whose height is 6 cm. The plant is growing at a rate of 2/3 cm per ...
Suppose wheat and sugar are two basic ingredients
Suppose wheat and sugar are two basic ingredients necessary to bake two items: a loaf of bread and a muffin. A baker has 25 pounds of wheat and 5 pounds of sugar. To bake each loaf of bread, the baker needs to use 1.3 pounds of wheat and 0.5 pound of sugar. To bake each muffin, the baker need needs 0.4 pound of wheat and 0.16 pound of sugar.
1) Set up the inequalities representing the baker’s possible choices for baking the number of loaves of bread and muffins to use up his available resources (wheat and sugar).
2) If each loaf of bread is sold for $2.50, and each muffin is sold for $1.15...
Ian wants to promote his band
Ian wants to promote his band on the internet. Site A offers website hosting for $4.95 per month with a $49.95 startup fee. Site B offers website hosting for $9.95 per month with no startup ...
Two trucks start from the same point
Two trucks start from the same point at the same time and go in opposite directions. One truck travels at 88km/h and the other travels at 72km/...
Assume that the mathematical model
Assume that the mathematical model C(x) = 16x + 130 represents the cost C, in hundreds of dollars, for a certain manufacturer to produce x items. How many items x can be manufactured while keeping costs between $525,000 and $781...
Greg Jones is driving on a straight road
Greg Jones is driving on a straight road that passes through the town of Westview. In Westview, there is a radio station that can be heard anywhere within a 20-mile radius of the town. Greg started 50 miles away from Westview at noon, and he is driving at a rate of 40 miles/hour towards it. Write an inequality, valid for the time before Greg reaches Westview, that states that his distance from ...
Solving Inequalities
A manufacturing company has determind that its profits P should be at least 1000000 more then 10 times the number of the manufacturing ...
The sum of two numbers
The sum of two numbers is less than 15. The second number is 3 more than the first. What are the possible values for the first of the two numbers? In your ...
Jenny wants to utilize a portion of her garden
Jenny wants to utilize a portion of her garden for growing flowers. Being a designer herself, she visualizes a triangular area with different lengths for each side. For this Jenny decides to keep a side of the triangular area 3 feet shorter and the other 2 feet longer than the third side. She also wants to restrict the perimeter of the triangular area to 32 feet, so that it does not cover a huge area of the ...
You need 30 tons of rock
You need 30 tons of rock to cover the area. If each to costs $60 and each tree is $84, what is the maximum number of trees you can buy with a budget for rock and trees of $2,500. Write an inequality that illustrates the problem and ...
Australian football is played on an elliptical field
Australian football is played on an elliptical field. The official rules state that the field must be between 135 and 185 meters long and between 110 and 155 meters wide.
a) Write an equation for the largest allowable playing field.
b) Write an equation for the smallest allowable playing field
c) Write an inequality that describes the possible areas of an Australian football field
Elisabeth and Madeline share a cell phone
Elisabeth and Madeline share a cell phone which their parents let them use only between 8pm and 9:30pm. Let x and y represent the number of minutes spent on the cell phone one evening by Elizabeth and Madeline respectively.
Write an inequality that models their parents' restriction on the cell phone usage.
Skate a graph of the ...
Victor`s goal is to earn
Victor's goal is to earn $75 per week.at his his after-school job. last month he was within $6.50 of his ...
