AnswersIntegrated Math II FullInequalities in the Real World

Inequalities in the Real World Answers

2 verified answers2 views
1
Free Preview

Mary wants to fence in a rectangular run for her dogs. She has decided that the run will be 5 yards wide. Which statement best describes the possible lengths of the run if she can use no more than 40 yards of fencing?

Question illustration
A
at most 8 yards
B
at most 15 yards
C
more than 8 yards
D
more than 15 yards
2
Free Preview

The school band is selling candy to raise $1,800.00 to pay for their trip to a band festival. The band earns $1.50 from every box of candy sold. Kayla solved the inequality to find the number of boxes the band must sell to meet their goal. She graphed her solution on a number line and interpreted the solution to mean the band will meet their goal if they sell fewer than 12 boxes.What errors did she make? Select two options.

Question illustration
A
She used the wrong coefficient for x in her inequality.
B
She should have used the less than or equal to symbol instead of the greater than or equal to symbol.
C
She interpreted the graph incorrectly.
D
She graphed a solution set that does not match her inequality.
E
The graph should have an open circle at 12.
4

Julio wants to break his school’s scoring record of 864 points during his 24-game basketball season. During the first 8 games of the season, he scored a total of 256 points. Which inequality can be used to find x, the number of points Julio must average per game during the rest of the season to break the record?

A
8 + 16 x greater-than 864
Option A
B
8 + 24 x greater-than 864
Option B
C
256 + 16 x greater-than 864
Option C
D
256 + 24 x greater-than 864
Option D
5

Maya is trying to break or tie the league record for home runs in her softball league. She solved the inequality to find the minimum number of home runs she must average per week over the five remaining weeks of the season to break or tie the record. What error did Maya make when she chose this inequality to model the situation?

Question illustration
A
She chose the incorrect relation and should have solved .
Option A
B
She modeled “average” incorrectly and should have solved .
Option B
C
She chose the incorrect relation and should have solved .
Option C
D
She modeled “average” incorrectly and should have solved .
Option D
6

An amusement park offers ride tickets for $1.50 each to customers who buy the quantities of tickets indicated in the graph below.Which statement is best supported by the graph?

Question illustration
A
Customers who buy at least 25 tickets will pay $1.50 each.
B
Customers who buy more than 25 tickets will pay $1.50 each.
C
Customers who buy less than 25 tickets will pay $1.50 each.
D
Customers who buy at most 25 tickets will pay $1.50 each.
7

Sara is taking a test made up of multiple-choice and open-ended questions. The multiple-choice questions have a value of 4 points each, and the open-ended questions have a value of 5 points each. If Sara has already answered 10 multiple-choice questions correctly, which inequality best describes the amount of open-ended questions Sara must answer correctly to earn more than 70 points?

A
x greater-than 6
Option A
B
x less-than 6
Option B
C
x greater-than 12
Option C
D
x less-than 12
Option D
8

Guests at an amusement park must be at least 48 inches tall to be able to ride the bumper cars. Which graph represents the set of heights in inches that satisfy this requirement?

A
A number line going from 45 to 53. An open circle is at 47. Everything to the right of the circle is shaded.
Option A
B
A number line going from 45 to 53. An open circle is at 48. Everything to the right of the circle is shaded.
Option B
C
A number line going from 45 to 53. A closed circle is at 48. Everything to the right of the circle is shaded.
Option C
D
A number line going from 45 to 53. A closed circle is at 49. Everything to the right of the circle is shaded.
Option D
9

A grocer pays $7.00 for each carton of 14 cantaloupes. Which inequality describes p, the set of prices, in dollars, that he can charge for each cantaloupe to make more than $1.00 profit on each one?

A
p greater-than 1.50
Option A
B
p less-than 1.50
Option B
C
p greater-than 2.50
Option C
D
p less-than 2.50
Option D
10

A can of 3 tennis balls sells for $2. If Sal spent more than $24 on tennis balls, which inequality can be used to find n, the number of tennis balls Sal could have bought?

A
Two-thirds n greater-than 24
Option A
B
Three-halves n greater-than 24
Option B
C
2 n greater-than 24
Option C
D
3 n greater-than 24
Option D

Did you find these answers helpful?