All categories

3 years ago

Does the equation represent a direct variation? If so, find the constant of variation.

Mathematics

1 answer:

aksik [14]3 years ago

4 0

I'm not 100 percent sure but I don't think it has a direct variant.

You might be interested in

The base parking charge at a mall on a Sunday is $2 per hour. If a vehicle is parked for 4 hours, only $6 is charged. What perce

chubhunter [2.5K]

2 dollars = 1 hour
8 dollars = 4 hours
she paid 6 dollars so the amount saved = 8-6 = 2 dollars
percentage saved = $\frac{2}{8}$ × 100
percentage saved = 25%

7 0

3 years ago

Read 2 more answers

The bill for dinner was $34. You left $50 to pay for the meal and tip the server. What percent of the meal did you leave as a ti

9966 [12]

Answer:

Step-by-step explanation:

$50 - 34 = 16$

6 0

3 years ago

Determine if the table shows a linear or an exponential function

____ [38]

Answer:

<em>The table shows an exponential function</em>

Step-by-step explanation:

<u>Linear vs Exponential Functions</u>

A linear function is written as:

$y=mx+b$

where m and b are constants.

If a table contains a linear function, then for each pair of ordered pairs (x1,y1) and (x2,y2), the value of m must be constant.

The slope can be calculated as:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

An exponential function is written as:

$y=y_o.r^x$

Where r is the ratio and yo is a constant.

If a table contains an exponential function, for two ordered pairs (x1,y1) and (x2,y2), the value of r must be constant.

The ratio can be calculated as:

$\displaystyle r=\sqrt[x2-x1]{\frac{y2}{y1}}$

Calculate the slope for (0,4) and (1,2):

$\displaystyle m=\frac{2-4}{1-0}=-2$

Calculate the slope for (1,2) and (2,1):

$\displaystyle m=\frac{1-2}{2-1}=-1$

Since the slope is not the same, the function is not linear.

Now calculate the ratio for (0,4) and (1,2)

$\displaystyle r=\sqrt[1-0]{\frac{1}{2}}$

The radical of index 1 is simply equal to its argument:

$\displaystyle r=\frac{1}{2}$

Now calculate the ratio for (0,4) and (2,1)

$\displaystyle r=\sqrt[2-0]{\frac{1}{4}}$

$\displaystyle r=\sqrt{\frac{1}{4}}$

$\displaystyle r=\frac{1}{2}$

Testing other points we'll find the same ratio, thus the table is an exponential function

4 0

3 years ago

Read 2 more answers

16 is 4% of what number?

IrinaK [193]

16 is 4% of 400

Change the percentage into a decimal by dividing the decimal over 100:
$\frac{4}{100} = 0.04$

Divide 16 by the decimal (0.04):
$16 \div 0.04 = 400$

3 0

3 years ago

PLEASE ANSWER< WILL GIVE BRAINLY TO BEST ANSWER!?

Mice21 [21]

A as let’s say we have an isosceles triangle two of the sides are the same but one of the sides usually the base us different . Therefore , for this question the sides will both be equal so both 6 and the base 12-different HOPE THIS HELPS (Brainly best answer pleasee )

7 0

3 years ago