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1 year ago

Price ($)87654321Price of CupsFind the unit rate ofthe price per cup.$[?]$54 cups 1 cup=Give your answer asa decimal.

Mathematics

1 answer:

Yanka [14]1 year ago

8 0

Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the formula for slope

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

STEP 2: Pick two points

STEP 3: Find the unit price per cup

Since 4 cups cost $5, one cup will cost

$\frac{5}{4}=\text{ \$}1.25\text{ per cup}$

Therefore, the answer is $1.25

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eimsori [14]

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25.2 weeks until everyone on the planet is infected

Step-by-step explanation:

The number of infected people after t weeks has the following format:

$P(t) = P(0)(1+r)^{t}$

In which P(0) is the initial number of infected people and r is the growth rate, as a decimal.

The number of infected people doubles every week

This means that $P(1) = 2P(0)$

$P(t) = P(0)(1+r)^{t}$

$2P(0) = P(0)(1+r)$

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200-person town

This means that $P(0) = 200$

$P(t) = P(0)*(2)^{t}$

$P(t) = 200*(2)^{t}$

How long will it be until everyone on the planet is infected?

This is t for which P(t) = 7700000000[/tex]

$P(t) = 200*(2)^{t}$

$7700000000 = 200*(2)^{t}$

$2^{t} = \frac{7700000000}{200}$

$\log{2^{t}} = \log{\frac{7700000000}{200}}$

$t\log{2} = \log{\frac{7700000000}{200}}$

$t = \frac{\log{\frac{7700000000}{200}}}{\log{2}}$

$t = 25.2$

25.2 weeks until everyone on the planet is infected

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3 years ago