Mathematics: An entrance ticket to a museum is $13.00 per person. If $364.00 is spent in entrance fees, then how many tickets were purchased? Write an equation. What is the constant of proportionality?

An entrance ticket to a museum is $13.00 per person. - id13007409463, sabrinarasull1pe6s61

Ответ:

corvo556

11.10.2020

Mathematics

Option (b) is correct.

The temperature of the metal after two hours is 28 Celsius

Step-by-step explanation:

Given : A heated piece of metal cools according to the function $c(x)=(0.5)^{x-7}$ , where x is measured in hours and then a cooling device id added that aids in cooling according to the function h(x)=-x-2

We have to determine the temperature of the metal after two hours.

Let w(x) denotes the temperature of metal .

Thus, w(x) can be given by function c(x) + h (x) = [c + h](x)

Thus, $w(x)=[c+h](x)\\\\w(x)=(0.5)^{x-7}+(-x-2)\\\\$ , where x is measured in hours.

Thus, after two hours that is when x = 2

the temperature of metal is given by w(2)

$w(x)=(0.5)^{x-7}+(-x-2)\\\\ w(2)=(0.5)^{2-7}+(-2-2)$

Solving , we get,

$w(2)=(0.5)^{2-7}+(-2-2)\\\\ w(2)=(0.5)^{-5}+(-4)\\\\ w(2)=32-4=28$

Thus, the temperature of the metal after two hours is 28 Celsius.

Hence, Option (b) is correct.

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An entrance ticket to a museum is $13.00 per person. If $364.00 is spent in entrance fees, then how many tickets were purchased? Write an equation. What is the constant of proportionality?

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