At a restaurant, hot chocolate can be purchased in two different cup sizes. A 12-ounce cup costs $4.80 and a 16-ounce cup costs $6.40.

Is the linear relationship between cup size and cost also proportional? Why or why not?

Yes, there is no constant of proportionality.
Yes, the constant of proportionality is 0.4.
No, the constant of proportionality is 0.4.
No, there is no constant of proportionality.

Answer:

Yes, the constant of proportionality is 0.4.

Step-by-step explanation:

[tex] \frac{4.80}{12} = \frac{48}{120} = \frac{2}{5} = .4[/tex]

[tex] \frac{6.40}{16} = \frac{64}{160} = \frac{2}{5} = .4[/tex]

Yes, the given relation is proportional with a constant of proportionality is 0.4 thus option (B) is correct.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

A 12-ounce cup costs $4.80.

The ratio of cost to ounce = 4.80/12 = 0.4

A 16-ounce cup costs $6.40.

The ratio of cost to ounce = 6.40/16 = 0.4

So constant of proportionality is 2.5.

Hence "Yes, the given relation is proportional with a constant of proportionality is 0.4".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ2

7/8 divided by 1/8 + 2^2

PLEASE HELP IF I GET THIS WRONG MY MOM WILL KILL ME
Grace Ann correctly evaluates the expression.

(−14.9/1)(1)

Which statements can Grace Ann make?

Select all correct statements.

Responses

The first factor is −14.9.

The first factor is 14.9.

The product is 14.9.

The product is −14.9

The shaded area on the grid represents part of a rectangular floor which was tiled. Each small square on the floor has the same dimensions.

What percentage of the floor was tiled?

A survey was given to people who own a certain type of car. What percent of the people surveyed were completely satisfied with the​ car?

Write an equation for the trend line shown on the scatter plot.

A restaurant customer left 1.10​$ as a tip. The tax was 6% and the tip was 10​% of the cost including tax.

a. Which information is not needed to compute the bill after tax and​ tip?

b. What was the total​ bill?

Can I get help on transversals of parallel lines: name angles pairs and solve the x thank you!

Which equation applies the associative property of multiplication?

A: 4/9 x (-3/8) x 9/4 = 4/9 x 9/4 x (-3.8)

B:​ −12/5 x (7/12 x 1/9) x 8/5 = (−12/5 x 7/12) x (1/9 x 8/5)

C: ​(−4/11 − 2/3) − 3/4 = −4/11 − (2/3 − 3/4)

D:​ 1/2 x (5/8 + 3/6) = (1/2 x 5/8) + (1/2 x 3/6)

Please help due today

1. A cube has a total surface area of 150cm square. find the side lenght of the cube.
2. A large cube is 8cm in height How many 1x1x1 cm cubes were used to make the large cube
b. Luke has one hundred 1x1x1 cm cubes. How many 1x1x1 cubes would he have left to build the biggest cube he could?
HELP INSTANTLY!!!!!!!!!!!!!!!!!!

please help with finding the area. 2 3/4

Determine whether the given value makes a true statement: x/-2 > 5 if x = 12

This assignment is due soon! If someone can help that would be great. It is about Exterior Angle Theorem.

Please Help I need to get my Math grade up!!

Zach is 4 years older than twice his sister Maya’s age. Zach is 28 years old.

The scatter plot below compares the number of hours of sleep that students got the night before an oral report to their grades on the report. Which statement is true about the line of best fit drawn on the graph below?

Will mark brainliest!!! Just help please!!!!

This assignment is due soon! Can someone help me on it. It is about Exterior Angle Theorem. Thank you!

This table shows the results of four surveys that randomly sampled 30 teenagers about their favorite night to hang out with friends. Friday Saturday Sunday Total Survey 1 9 14 7 30 Survey 2 11 13 6 30 Survey 3 10 14 6 30 Survey 4 7 5 18 30 According to the unbiased surveys in this table, what percent of the teenagers are likely to prefer hanging out with their friends on Saturday night? Responses 21% 21% 34% 34% 38% 38% 46%

what is 2^-5 ÷ 2^5 simpllified

Which is a common monomial factor for the expression 24h2 + 18gh?

Fill in the blanks Please I need to get my math grade up
also btw the first pick blank has
4.
5.
2.
and the second one has
4 x 30
2 x 3
2 x 30
5 x 30
5 x 3
4 x 3

This tire reduces pressure from 40 psi to 33 psi in 7 days. What is the rate of pressure leakage per day?

it would be very great if you showed me the step to step part

The table shows the diameters of the planets in our solar system. Assume that a basketball whose diameter is 25 centimeters represents the planet Jupiter. Find the scale (ratio) between Jupiter and the basketball. Then use this ratio to find the scaled diameter of the other planets. Enter these numbers into the table. (Saturn has been done for you.) Finally, choose a real-world spherical or nearly spherical object that matches the scaled diameter of each planet.
Saturn is shown as an example. To find what Saturn’s size would be after adjusting it to scale, follow these steps. Let the scaled diameter of Saturn be d centimeters. If Jupiter’s diameter, 142,984 kilometers, is scaled to 25 centimeters, Saturn’s diameter of 120,536 kilometers will be scaled to about 21 centimeters:
142,984/25 = 120,536/d
d = 120,536×25/142,984
d ≈ 21 cm
Is there any other way to describe this or solve this? I re-read it multiple times and I still don't get it.

A new health drink has 150​% of the recommended daily allowance​ (RDA) for a certain vitamin. The RDA for this vitamin is 40 mg. How many milligrams of the vitamin are in the​ drink?

Last year, the school basketball team won 75% of their 32 games. How many games did the school basketball team win last year?show work pls

Hannah wanted to check her solution of b=-3 for the equation 9/7 (1+b)-6/7b 1=1 . Substituting b for -3, she writes the following:
A. 9/7(1+(-3))-6/7b+1=1
B. 9(1+(-3))-6(-3)-7=7
C. 9(1+(-3))+18+7=7
D. 6-18+7=7
E. -12+7=7 -5=7
F. -5=7
In which line did Hannah make a mistake? Choose one.

A scientist pours 708 milliliters of a solution into a beaker. There are approximately 236 milliliters in 1 cup. How many ounces of a solution did she pour into the beaker?

how can you use bar diagrams to show a percent of change?

The ratio of red ribbons to green is 4:6. If there is a total of 32 red ribbons, how many greens are there?
(Thank you!)