Mathematics, 20.10.2019 17:10, Flaka2809

Science center the expression 20a + 13c is the cost (in dollars) for a adults and c students to enter a science center. a. how much does it cost for an adult? a student? explain your reasoning. b. find the total cost for 4 adults and 24 students. c. you ﬁ nd the cost for a group. then the numbers of adults and students in the group both double. does the cost double? explain your answer using an example.

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answered: LolaSalem

Following are the solution to the given points:

For point a:

Each adult pays $\$20$ . Whether this is a cost function. Because the wording says "the cost (in dollars) for just adults and c students," a person is a, and the cost for one adult, 1a, is 20. It is a ratio of the number of people to the cost of one adult.Every pupil gets charged $13. Because pupil is c, the cost for one pupil, 1c, is 13. This relates the overall number of students to the cost of one pupil.

For point b:

When the Total cost = 20a + 13c

Where

$\text{a = adult}\\\\\text{c = student}$

Calculating the total cost for 4 adults and 24 students

$\to a = 4 \\\\ \to c = 24$

$\to 20(4) + 13(24)\\\\\to 80 + 312\\\\\to 392$

For point c:

When your party consists of three adults and three students, the overall cost is $\$99 =(20 (3) + 13 (3)).$ Let's see if the price doubles if you double the amount of each. We'll "increase" the number to six for each one of us. $\$198$ is the sum of 20(6) + 13(6).

$\$198$ precisely the same as $\$99$ . That's correct. Let's go through it again for good measure.Let's double the 6 by two. $\ 20(12) + 13(12) = \$396$ , and $\$198$ multiplied by two equals $\$396$ .Learn more:

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answered: InchantingCrazy2168

Step-by-step explanation:

A. It costs $20 per adult. If this is a cost fuction, which it is because the wording is "the cost (in dollars) for a adults and c students", adult is a, the cost for 1 adult, 1a, is 20. That relates the number of adults to the cost of 1 adult.

It costs $13 per student. Again, this is a cost function, so since student is c, the cost for 1 student, 1c, is 13. That relates the number of students to the cost of 1 student.

B. The total cost for 4 adult and 24 students looks like this:

20(4) + 13(24) which is 80 + 312 = $392

C. If you have 3 adults and 3 students in your group, the cost is 20(3) + 13(3) which is $99. If you double the number of each, let's see if the cost doubles. We will "up" the numbers to 6 each. 20(6) + 13(6) = $198. Is $198 the double of $99. Yes it is. Let's do it again to check. Let's double the 6.

20(12) + 13(12) = $396, and $198 doubled does in fact equal $396. So there you go!

answered: Guest

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answered: Guest

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