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Klio2033 [76]
3 years ago
5

What is the exponential function modeled by the following table?

Mathematics
1 answer:
Ierofanga [76]3 years ago
8 0
\bf \begin{array}{ccll}
x&f(x)\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2&\stackrel{3^2+1}{10}\\
3&\stackrel{3^3+1}{28}\\
4&\stackrel{3^4+1}{82}
\end{array}\implies f(x)=3^x+1
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A middle schooler took all the 6th grader on a field trip to see ballet. The students filled up 570 seats, which was 95% of the
Musya8 [376]

The total  number of seats in the theater is 600 seats, if the students filled up 570 seats, which was 95% of the total number of seats in the theater.

Step-by-step explanation:

The given is,

                 Seats filled by students are 570 seats

                 Which is 95% of the total number of seats in the theater

Step: 1

                Let, x - Total number of seats available in theater

                Percentage of seats filled, y= 95%

                Seats filled by students = 570

                Formula to calculate total number of seats in theater,

                          95% of seats  = \frac{95}{100}( x)    

                                         570 = 0.95 (x)

                                              x = \frac{570}{0.95}

                                                 = 600

                                              x = 600 seats

Step: 2

            Check for solution,

                            5% of seats  = \frac{5}{100} (600)

                                                  = (0.05 × 600)

                                                  = 30 seats

                    Total no. of seats = 5% of seats  + 95% of seats

                                                  = 30 + 570

                                         600 = 600

Result:

           The total  number of seats in the theater is 600 seats.

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