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1 year ago

3. Two companies charge differently for canoe rentals, as shown below.

Mathematics

1 answer:

Nitella [24]1 year ago

5 0

The rate of change for company A is 8.

The rate of change for company B is 15

Company A is better as it is charging less by a value of $18

What is rate of change?

Rate of change is the changes in the dependent variable when the independent variable changes by a unit value.

We are given 2 companies

A) equation for charges applied by company A is given by c=8h+10

Cost is a function of hours

To find the rate of change we differentiate the function

We get c' = 8

Rate of change for company A is 8

The cost for 4 hour rental is

c= 8(4)+10

c=32+10

c=$42

B) Company B charges $15 per hour

Rate of change for company B is 15

The cost for 4 hour rental is

c= 15(4)

c=$60

C) Company A is better to buy by $18 as the difference between the four hours price between company A and company B is $ 18

To learn more about equation please refer

brainly.com/question/22688504

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The circle will be enlarged by a scale factor of 4.

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Step-by-step explanation:

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4 years ago

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The two rectangular prisms are similar. What is the volume of the larger rectangular prism? 240 cm³ 540 cm³ 1620 cm³ 3240 cm³ A

Andreas93 [3]

Volume of a figure is measure of the space it occupies. The volume of the larger rectangular prism is given as: Option C: 1620 cm³

<h3>How to calculate volume of a rectangular prism?</h3>

If a rectangular prism has dimensions <u>a</u> unit, <u>b</u> unit, and <u>c</u> units, then its volume is given as

$V = a \times b \times c \: \rm unit^3$

<h3>What are similar figures?</h3>

They are scaled. It means, if two figures are similar, then we can get one figure from another by multiplying some constant value(same for one pair of similar figure) to its dimensions.

For example,

if for given case, one rectangular prism has got dimensions a, b, and c centimetres, then

the second rectangular prism, which is similar, let the scale factor is 'd',t then second prism's dimensions will be a x d units, b x d units, and c x d units.

For first prism(smaller), its one side is given to be 5 cm, let its other two sides be 'b' cm, and 'c' cm, then,

$60 \: \rm cm^3 = 5\times b\times c \\\\b\times c = \dfrac{60}{5} = 12$

Now, the larger prism has 15 cm corresponding side, thus, scale factor was 3 (since 15 is 3 times 5).

Thus, its dimensions would be 15, 3 x b, 3 x c

Thus, its volume would be

$15 \times 3 \times b \times 3 \times c = 135 \times b\times c = 135 \times 12 = 1620 \: \rm cm^3$

Thus,

The volume of the larger rectangular prism is given as: Option C: 1620 cm³

Learn more about volume of rectangular prism here:

brainly.com/question/21308574

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