Alg 2 Term 1 Unit 3 Levels of Accuracy CW3 KEY KEY KEY
For numbers 1 through 18, write an absolute value inequality, determine the solution, and show the solution on a graph.
1. A particular mobile phone produced must be less than 8 ounces in weight with a tolerance of 0.3 ounces. The mobiles that are not within the tolerated weight must be recycled. Show which mobiles are tolerable? (W is the weight of the mobiles).
|W – 8| ≤ 0.3
2. Bottles manufactured in a factory must be 250 ml in volume with a tolerance of 20 ml. Bottles that are not within the tolerated volume cannot be sold. Show which bottles are tolerable? (v is the volume of the bottle) .
|v – 250| ≤ 20
3. Puddings produced at a factory must be 120g in weight with a tolerance of 5g. Puddings that are not within the tolerated weights must be thrown away. Show which puddings are tolerable? (w is the weight of the pudding) .
|w – 120| ≤ 5
4. The street built in the city must be 25 feet in width with a tolerance of 0.5 feet. Streets that are not within the tolerated widths must be repaired. Show which streets are within tolerance? (W is the width of the street).
|W – 25| 0.5
5. Steel rods produced at a factory must be 10 inches in length with a tolerance of 0.2 inches. Steel rods that are not within the tolerated lengths must be thrown away. Show which steel rods are tolerable? (r is the length of the rod) .
|r – 10| ≤ 0.2
6. The weight of each fountain pen manufactured in a factory must be 10 g with a tolerance of 2 g. Pens that are not within the tolerated weight must be thrown away. Show which pens are tolerable? (w is the weight of the pen) .
|w – 10| 2
7. A regulation for riding a certain amusement park ride requires that a child be between 30 inches and 50 inches tall. Use an inequality to determine whether or not the child's height H satisfies the regulation for this ride.
8) The weight of a 40 lb bag of fertilizer varies as much as 4 oz from the stated weight. Write an equation and graph to expresses the tolerance for the weight, w, of a bag of fertilizer.
9) Write an equation and graph that expresses the change in the temperature, t, that was recorded to be as low as 65 F and as high as 87F on a certain day.
10) The duration of a telephone call to a software company’s help desk is at least 2.5 minutes and at most 25 minutes. Write and graph an inequality for the duration, d, of a telephone call.
11) The circumference, c, of basketball for woman must be between 28.5 and 29 inches. Write an inequality and graph that shows the tolerance for the circumference of the ball.
12) A manufacturing specification calls for a dimension, d, of 10 cm with a tolerance of 0.1 cm. Write and graph an inequality that expresses this tolerance.
13) The diameter, d, of a fiber optic cable must be at least 4.8 mm and at most 5.2 mm. Write and graph an inequality that represents the diameter of the fiber optic cable.
14) A manufacturer has a 0.6oz tolerance for a bottle of salad dressing advertised as 16oz. Write and graph an absolute value inequality that describes the acceptable volumes for “16oz” bottles.
15) A city ordinance states that pools must be enclosed by a fence that is from 3 to 6 ft high. Write and graph absolute value inequality describing fences that meet this ordinance.
16) Physicians consider an adult’s normal body temperature to be within 1°F of 98.6°F, inclusive. Write and graph an absolute value inequality that describes the range of normal body temperatures.
17) A machine is used to fill each of several bags with 16 ounces of sugar. After the bags are filled, another machine weighs them. If the bag weighs 0.3 ounces more or less than the desired weight, the bag is rejected. Write this equation to find the heaviest and lightest bag the machine will accept.
18) A thermometer comes with a guarantee that the stated temperature differs from the actual temperature by no more than 1.5 degrees Fahrenheit. Write and solve an equation to find the minimum and maximum actual temperatures when the thermometer states the temperature is 87.4 degrees Fahrenheit.