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Amanda [17]
3 years ago
8

The graph shows the amount of money paid when purchasing bags of peanuts at the zoo: What is the constant of proportionality? (4

points) Select one: a. 1 b. 4 c. d.

Mathematics
1 answer:
jolli1 [7]3 years ago
6 0

Answer:

The constant of proportionality is equal to 4

Step-by-step explanation:

The picture of the question in the attached figure

Let

y ----> the total cost in dollars

x ----> the number of bags of peanuts

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

To find out the constant of proportionality, we need to take one point from the graph

take the point (1,4)

Find the value of k

k=\frac{y}{x}

substitute the value of x and the value of y

k=\frac{4}{1}=\$4\ per bag

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The short-Run Macroeconomic Model is very similar to the standard model for markets. In what ways are these two models different
Semmy [17]

Answer: Option (c) is correct

Step-by-step explanation:

Slope of demand curve is negative and slope of supply curve is positive in both the models.

But labeling of axis is different in both the models. In the short-run macroeconomic model, y-axis represents the price level whereas x-axis represents the GDP.

While in the standard model for markets, y-axis shows the general price level whereas x-axis represents the output level.

4 0
3 years ago
The number of registered vehicles on the road in a country is constantly increasing. In​ 2009, there were approximately 270 mill
spin [16.1K]

The Answer to your problem is:

270000000 x 4%

Answer:

10800000

3 0
3 years ago
The population of a country was increased in the past 4 years. The annual presentage increases are 20%,25%,30%,10% respectively.
Vladimir79 [104]

The answer is 114.5%.

Let the original population be denoted by x.

Now, let's go through the percentage increase per year.

<u>Year 1</u>

  • x (1 + 20%)
  • x (1.2)
  • 1.2x

<u>Year 2</u>

  • 1.2x (1 + 25%)
  • 1.2x (1.25)
  • 1.5x

<u>Year 3</u>

  • 1.5x (1 + 30%)
  • 1.5x (1.3)
  • 1.95x

<u>Year 4</u>

  • 1.95x (1 + 10%)
  • 1.95x (1.1)
  • 2.145x

Overall increase : 214.5% - 100% = 114.5%

Hence, the overall percentage increase in these 4 years is 114.5%.

7 0
2 years ago
Answer with Explanation please! Thank you!
Anna [14]

Answer:

The answer is D.

Step-by-step explanation:

First you have to get rid of brackets by expanding :

3 {q}^{2}  +  {r}^{3}  + 5r - 8q + 2( {q}^{2}  + r)

= 3 {q}^{2}  +  {r}^{3}  + 5r - 8q + 2 {q}^{2}  + 2r

Next you have to simplify by collecting like terms :

{r}^{3} +  3 {q}^{2}  + 2 {q}^{2}  + 5r + 2r - 8q

=  {r}^{3}  + 5 {q}^{2}  - 8q + 7r

6 0
3 years ago
Read 2 more answers
A rectangle has a width of 9 inches. The area of the rectangle is 648 square inches. What is the length, in inches, of the recta
Ivan

Answer:

The length is 72

Step-by-step explanation:

length x width = area

9 x length = 648

length = 72

7 0
3 years ago
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