Your school is planning a field trip to the zoo there are two different bus school bus company a has a $35 rental fee plus $5 for each student bus company b has a $95 rental fee plus $3 for each student how many students would need to go in order for the bus to cost the same from both companies

Step-by-step explanation:

We know that Bus A has a $35 rental fee plus $5 for each student, this can be expressed as

Where represents students

Also, we know that Bus B has a $95 rental fee plus $3 for each student, this can be expressed as

To find the number of students to both plans be equal, we have to equal both expression and solve for as follows

Therefore, with 30 students, both plan would be equal.

Hey there!!

Basic formula :

√( x₂ - x₁ )² + (y₂ - y₁ )²

Coordinates :

R ( -1 , 3 ) ; S ( 3 , 3 ) ; T ( 5 , -1 ) ; U ( -2 , -1 )

Let us see the distance of the segment of RS

( x₂ = 3 , x₁ = -1 )  ( y₂ = 3 , x₁ = 3 )

√ ( 3 - ( -1 ) )² + ( 3 - 3 )²

√ ( 3 + 1 )² + ( 0 )²

√ ( 4 )² + 0

√ 16

= 4

First side = 4

Now, let us find the ST

( 3 , 3 ) ( 5 , - 1 )

( x₂ = 5 , x₁ = 3 ) ; ( y₂ = -1 , y₁ = 3 )

√ ( 5 - 3 )² + ( -1 - 3 )²

√ ( 2 )² + ( -4 )²

√ 4 + 16

√20

√4 × √5

the length of this side = 2√5 = 4.47

The length of TU :

( 5 , -1 ) ( -2 , -1 )

( x₂ = -2 , x₁ = 5 ) ; ( y₂ = -1 , y₁ = -1 )

√ ( -2 -5 )² + ( -1 + 1 )²

√ ( -7 )² + ( 0 )²

√ 49 = 7

The length of the third side = 7

The length of RU :

( -1 , 3 ) ( -2 , -1 )

( x₂ = -2  , x₁ = -1 ) ; ( y₂ = -1 , y₁ = 3 )

√ ( -2 + 1 )² + ( -1-4 )²

√ ( - 1 )² + ( -5 )²

√ 1 + 25

√26 = 5.09

The length of the fourth side = 5.09

Perimeter = 4 + 4.47 + 7 + 5.09

= 20.56

The perimeter = 20.56

Rounded off = 21 0r 20.6

Hope my answer helps!