Question

A science teacher is planning a field trip to either the aquarium or science center.

Answer 1

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Let the no. of students be x

total cost = y

Then the first equation will be

8x + 20 = y

And the second equation will be

3x + 40 = y

Answer 2

A system of two equations where each equation models the total cost y to take x students on each field trip is;

8x + 20 = y

3x + 40 = y

The total cost y is 48 to take x = 4 students on each field trip.

What is the system of equations?

In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same set of variables.

A science teacher is planning a field trip to either the aquarium or the science center.

The aquarium charges $20 for the class tour guide and also charges $8 per student.

The science center charges $3 per student and has a class lab fee of $40.

Let the total cost y to take x students on each field trip.

The aquarium charges $20 for the class tour guide and also charges $8 per student.

8x + 20 = y

The science center charges $3 per student and has a class lab fee of $40.

3x + 40 = y

On solving both the equation

Substitute the value of y in the equation 2

3x + 40 = y

3x + 40 = 8x+20

8x - 3x = 40-20

5x = 20

x = 20/5

x = 4

Substitute the value of x in the equation 1

3x + 40 = y

2(4) + 40 =y

8 + 40 = y

y = 48

Hence, the total cost y is 48 to take x = 4 students on each field trip.

Learn more about the system of the equation here;

brainly.com/question/8119922

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