Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The Weston High School softball coach is purchasing equipment for her team. She has a budget of at most $\$740$ to purchase bats and softballs. A case of softballs has a price of $\$48$ , and a bat has a price of $\$32$ . $\newline$ Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. $\newline$ $x =$ the number of cases of softballs $\newline$ $y =$ the number of bats $\newline$ Choices: $\newline$ (A) $48x + 32y \leq 740$ $\newline$ (B) $32x + 48y \leq 740$ $\newline$ (C) $48x + 32y < 740$ $\newline$ (D) $32x + 48y < 740$

View step-by-step help

View step-by-step help

Write a linear inequality: word problems

Full solution

Q. The Weston High School softball coach is purchasing equipment for her team. She has a budget of at most

\$740

to purchase bats and softballs. A case of softballs has a price of

\$48

, and a bat has a price of

\$32

.

\newline

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

\newline

x =

the number of cases of softballs

\newline

y =

the number of bats

\newline

Choices:

\newline

(A)

48x + 32y \leq 740

\newline

(B)

32x + 48y \leq 740

\newline

(C)

48x + 32y < 740

\newline

(D)

32x + 48y < 740

Softball Price and Quantity: Price per case of softballs: $\$48$ , let $x$ be the number of cases. $\newline$ Price per bat: $\$32$ , let $y$ be the number of bats. $\newline$ Budget: at most $\$740$ .
Bat Price and Quantity: Total cost for softballs: $48 \times x = 48x$ . Total cost for bats: $32 \times y = 32y$ .
Total Equipment Cost: Total cost for equipment: $48x$ (softballs) plus $32y$ (bats).
Budget Constraint: The total cost must be less than or equal to the budget. $\newline$ Inequality: $48x + 32y \leq 740$ .

More problems from Write a linear inequality: word problems

Question

s

\newline

|s| + 3 \geq 8

\newline

\newline

Write a compound inequality like

1 < x < 3

x < 1

x > 3

. Use integers, proper fractions, or improper fractions in simplest form.

\newline

\newline

Posted 1 month ago

Question

x

\newline

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

\newline

\newline

Write a compound inequality like

1 < x < 3

x < 1

x > 3

\newline

Posted 1 month 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 1 month 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 4 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 4 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 1 month 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 27 days 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 4 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 2 months ago