Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Medium: Algebra: Unit test

w=3.1+(l)/(2)
The weight,
w, in ounces, of a glass soda bottle design with a side length of
l inches is given by the equation. By how many ounces does the weight of the bottle increase for every inch of increase in the side length?
Choose 1 answer:
(A) 0.5
(B) 2
(c) 3.1
(D) 3.6

Medium: Algebra: Unit test $\newline$ $w=3.1+\frac{l}{2}$ $\newline$ The weight, $w$ , in ounces, of a glass soda bottle design with a side length of $l$ inches is given by the equation. By how many ounces does the weight of the bottle increase for every inch of increase in the side length? $\newline$ Choose $1$ answer: $\newline$ (A) $0$ . $5$ $\newline$ (B) $2$ $\newline$ (c) $3$ . $1$ $\newline$ (D) $3$ . $6$

View step-by-step help

View step-by-step help

Scale drawings: word problems

Full solution

Q. Medium: Algebra: Unit test

\newline

w=3.1+\frac{l}{2}

\newline

The weight,

w

, in ounces, of a glass soda bottle design with a side length of

l

inches is given by the equation. By how many ounces does the weight of the bottle increase for every inch of increase in the side length?

\newline

Choose

1

answer:

\newline

(A)

0

.

5

\newline

(B)

2

\newline

(c)

3

.

1

\newline

(D)

3

.

6

Identify Coefficient: To find out how much the weight increases for every inch of increase in side length, we need to look at the coefficient of $l$ in the equation $w = 3.1 + \frac{l}{2}$ . This coefficient represents the rate of change of the weight with respect to the side length.
Calculate Rate of Change: The coefficient of $l$ is $\frac{1}{2}$ . This means that for every increase of $1$ inch in the side length $l$ , the weight $w$ increases by $\frac{1}{2}$ ounce.
Final Answer: Therefore, the answer to the question is that the weight of the bottle increases by $0.5$ ounces for every inch of increase in the side length.

More problems from Scale drawings: word problems

Question

\newline

1,000

\text{ milligrams}

\_\_\_\_

\text{ grams}

Posted 2 months ago

Question

3

-gallon bottle of bleach costs

\$11.52

. What is the price per quart?

\newline

Posted 2 months ago

Question

Maureen can't wait to make chocolate chip zucchini bread with zucchini from her garden. Her recipe calls for

8

ounces of chocolate chips per loaf. If she has enough zucchini to make

4

loaves of zucchini bread, how many pounds of chocolate chips does she need?

\newline

Hint: There are

16

1

\newline

Write your answer as a whole number, decimal, or simplified fraction. Do not round.

\newline

Posted 2 months ago

Question

A whale is swimming due north at a speed of

30

miles per hour. Just

5

miles away, a whale-watching tour boat is traveling south, directly toward the whale, at a speed of

46

miles per hour. How long will it be before they meet? If necessary, round your answer to the nearest minute.

\_\_\_\_

\_\_\_\_

Posted 2 months ago

Question

\newline

500

=

Posted 3 months ago

Question

\newline

2,000

=

Posted 3 months ago

Question

\newline

750

=

Posted 3 months ago

Question

\newline

1,500

=

Posted 3 months ago

Question

\newline

1,500

=

Posted 3 months ago

Question

The formula for the time it takes to travel a distance of

d

at an average speed

v

\frac{d}{v}

100

-meter dash at a speed of about

7.5

meters per second. What calculation will give us the estimated duration of Tessa's dash in seconds? Choose

1

\newline

\frac{7.5}{100}

\newline

\frac{100}{7.5}

\newline

\frac{7.5}{100 \times 60}

\newline

\frac{100 \times 60}{7.5}

Posted 4 months ago