Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Rob is crocheting scarves for a craft fair. He will give away the first 2 scarves and will sell the rest for
$8 each. His scarves are very popular and people always buy all that he is willing to sell. Rob's goal is to earn at least
$75. If
n represents the number of scarves which Rob needs to crochet to meet his goal, which of the following inequalities best models the situation described above?
Choose 1 answer:
(A)
8n-2 >= 75
(B)
8n >= 75-2
(c)
8(n-2) >= 75
(D)
(8-2)n >= 75

Rob is crocheting scarves for a craft fair. He will give away the first $2$ scarves and will sell the rest for $\$ 8$ each. His scarves are very popular and people always buy all that he is willing to sell. Rob's goal is to earn at least $\$ 75$ . If $n$ represents the number of scarves which Rob needs to crochet to meet his goal, which of the following inequalities best models the situation described above? $\newline$ Choose $1$ answer: $\newline$ (A) $8 n-2 \geq 75$ $\newline$ (B) $8 n \geq 75-2$ $\newline$ (C) $8(n-2) \geq 75$ $\newline$ (D) $(8-2) n \geq 75$

View step-by-step help

View step-by-step help

Write a linear inequality: word problems

Full solution

Q. Rob is crocheting scarves for a craft fair. He will give away the first

2

scarves and will sell the rest for

\$ 8

each. His scarves are very popular and people always buy all that he is willing to sell. Rob's goal is to earn at least

\$ 75

. If

n

represents the number of scarves which Rob needs to crochet to meet his goal, which of the following inequalities best models the situation described above?

\newline

Choose

1

answer:

\newline

(A)

8 n-2 \geq 75

\newline

(B)

8 n \geq 75-2

\newline

(C)

8(n-2) \geq 75

\newline

(D)

(8-2) n \geq 75

Initial Free Scarves: Rob gives away the first $2$ scarves for free, so they do not contribute to his earnings. The scarves he sells are $\$8$ each. If $n$ represents the total number of scarves Rob crochets, then he will sell $(n - 2)$ scarves because the first $2$ are free. The total earnings from selling $(n - 2)$ scarves at $\$8$ each would be $8(n - 2)$ . Rob wants to earn at least $\$75$ , so the inequality should reflect that the earnings from the scarves sold should be greater than or equal to $\$75$ . The inequality that models this situation is $\$8$ $0$ .

More problems from Write a linear inequality: word problems

Question

s

\newline

|s| + 3 \geq 8

Posted 4 months ago

Question

Which compound inequality represents the value of

x ?

\newline

(x - 1)(x + 1) > 0

\newline

Posted 4 months ago

Question

A particular company charges advertisers a one time cost of

\$500

, in addition to

\$4.50

for every one thousand times an advertisement is shown on the company's webpage. An advertiser wants its ad to appear

M

thousand times on the webpage, but does not want to spend more than

\$5,000

. Which of the following inequalities best describes the situation?

\newline

\newline

500+4.50M\geq5,000

\newline

4.50+500M>5,000

\newline

500+4.50M\leq5,000

\newline

500+4.50M<5,000

Posted 7 months ago

Question

7x+1 < x+9

\newline

Which of the following best describes the solutions to the inequality shown?

\newline

1

\newline

x > \frac{4}{3}

\newline

x < \frac{4}{3}

\newline

x < 1

\newline

x < \frac{5}{3}

Posted 4 months ago

Question

52-3x < -14

\newline

Which of the following best describes the solutions to the inequality shown?

\newline

1

\newline

x > -\frac{38}{3}

\newline

x > \frac{38}{3}

\newline

x < 22

\newline

x > 22

Posted 10 months ago

Question

5-3x > 2x+2

\newline

Which of the following best describes the solutions to the inequality shown?

\newline

1

\newline

x < \frac{7}{5}

\newline

x < 3

\newline

x < \frac{3}{5}

\newline

x > \frac{3}{5}

Posted 10 months ago

Question

Rani is a real estate agent. For each house she sells, she pays

\$ 100

in fees, but earns a commission of

1.8 \%

of the selling price of the house. Rani's total profit from a particular house is

\$ 4,580

p

represents the selling price of the house, which equation best models the situation?

\newline

1

\newline

0.018 p-100=4580

\newline

0.018 p+100=4580

\newline

(100-0.018) p=4580

\newline

(100+0.018) p=4580

Posted 8 months ago

Question

A commercial airplane that is

1

500

2

500

-mile journey is traveling at

450

knots in still air when it picks up a tailwind of

150

knots (in the same direction). If

h

is the number of hours remaining in the airplane's flight, which of the following equations best describes the situation?

\newline

1

\mathrm{knot}=1.15

miles per hour (mph)

\newline

1

\newline

1,500+690 h=2,500

\newline

1,500+600 h=2,500

\newline

1,500-600 h=2,500

\newline

1,500-690 h=2,500

Posted 7 months ago

Question

A weeping willow that is

15

feet in height grows to a maximum height of

35

y

years at a constant rate of

24

inches per year. Which of the following equations best describes this situation?

\newline

1

=12

\newline

1

\newline

35=15+2 y

\newline

35=15+24 y

\newline

35=15-2 y

\newline

35=15-24 y

Posted 10 months ago

Question

The gas mileage for a car is

23

miles per gallon when the car travels at

60

miles per hour. The car begins a trip with

13

gallons in its tank, travels at an average speed of

60

miles per hour for

h

hours, and ends the trip with

10

gallons in its tank. Which of the following equations best models this situation?

\newline

1

\newline

13-\frac{23 h}{60}=10

\newline

13-\frac{60 h}{23}=10

\newline

\frac{13-60 h}{23}=10

\newline

\frac{13-23 h}{60}=10

Posted 8 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant