All categories

3 years ago

Assume that a varies directly as b. What is the constant of proportionality if a = 8 when b = 2?

Mathematics

2 answers:

Lena [83]3 years ago

8 0

Answer:

k = 4

Step-by-step explanation:

Given that a varies directly as b then the equation relating them is

a = kb ← k is the constant of variation

To find k use the condition a = 8 when b = 2

k = $\frac{a}{b}$ = $\frac{8}{2}$ = 4

lisov135 [29]3 years ago

8 0

Answer:

K = 4

Step-by-step explanation:

Given that varies a directly as b then the equation relating them is

Simply implies that a is directly proportional to b, that is increase in a will cause increase in, and decrease in a will cause decrease in b, and vice versa, where k remains constant.

a α b

a = kb, where k is constant

To find k use the condition a = 8 when b = 2, we make k the subject of the formular

K = a/b

K = 8/2

K = 4

You might be interested in

What's the answer for78.8×55.779

navik [9.2K]

The answer is
4395.3852

4 0

3 years ago

Mr. Richard needs blocks of wood that are 6 inches long. He found logs of wood in their backyard that have the

Stolb23 [73]

Answer:

<h2>1 ) A question of a log with inches is asked.</h2><h2>2) The inches of the logs.</h2><h2>3)Multiplication. </h2><h2>4) Multiply six times every number to get the actual inches of the one given.</h2><h2 />

6 0

3 years ago

Mai uses Triangle A and says the slope of this line is `\frac{6}{4}.` Elena uses Triangle B and says no, the slope of this line

nikdorinn [45]

Answer:

I agree with both of them because they are both correct

Step-by-step explanation:

See attachment for complete question;

Slope (m) is calculated using the following formula:

$m = \frac{Rise}{Run}$

Where

$Rise = Vertical\ Distance$

$Run = Horizontal\ Distance$

From the attachment, we have the following:

Triangle A

$Rise = 6\ units$

$Run = 4\ units$

So:

$m = \frac{Rise}{Run}$

$m = \frac{6}{4}$

<em>In this case, Mai is correct:</em>

Triangle B

$Rise = 1.5\ units$

$Run = 1\ units$

So:

$m = \frac{Rise}{Run}$

$m = \frac{1.5}{1}$

$m = 1.5$

<em>In this case, Elena is also correct:</em>

8 0

3 years ago

A study found that 9% of dog owners brush their dog’s teeth. Of 578 dog owners, about how many would be expected to brush their

WINSTONCH [101]

It’s about 52. 578•.09=52.02, which rounds to 52.

6 0

3 years ago

A taxi charges a pick-up fee p!us a charge per mile. Maria paid $15.00 for a 7 mile rode. To my paid $19.50 for a 10 mile ride.

lukranit [14]

Answer:

The y-intercept in coordinate form is (0, 4.5) and represents the taxi pick-up fee. The equation is y=1.5x + 4.5.

Step-by-step explanation:

This question is asking for the slope and y-intercept of a linear equation. A linear equation makes a straight line based on a constant rate of change. For this problem, the cost per mile is the slope, while the independent variable 'x' is the number of miles and the dependent variable 'y' is the total cost. In order to first find slope, you need to use the two points given (7, 15) and (10, 19.5) to set up a change in y / change in x, or (19.5-15)/(10-7) or 4.5/3 which is 1.5. So the slope, or cost per mile is $1.50. To find the y-intercept (b), or the cost of the pick-up fee, simply fill in your equation y=1.5x + b with your other variables and solve for 'b'. So, 15 = (1.5 x7) + b. or 15 = 10.5 +b, subtract 10.5 from both sides of the equation to get b=4.5.

5 0

4 years ago