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aliina [53]
3 years ago
10

Mrs. Williams is deciding between two field trips for her class. The Science Center charges $120 plus $5 per student. The Dino D

iscovery Museum simply charges $7 per student. For how many students will the Science Center charge less than the Dino Discovery Museum charges?
Mathematics
1 answer:
DanielleElmas [232]3 years ago
8 0

Answer:

The Science Center charge less than the Dino Discovery museum for more then 10 students

Step-by-step explanation:

Let us assume that the number of students are x .

Let us assume that the total charge for x students be y.

As given

Mrs. Williams is deciding between two field trips for her class.

The Science Center charges $120 plus $5 per student.

Than the equations becomes

y = 120 + 5x

The Dino Discovery Museum simply charges $7 per student.

y = 7x

Than

120 + 5x < 7x

120 < 7x - 5x

120 < 2x

\frac{120}{12} < x

10 < x

Therefore the Science Center charge less than the Dino Discovery museum for more then 10 students.

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Answer:

The slopes are

m1=\dfrac{2}{5}, m2=-\dfrac{5}{2}

Therefore, the equations are equations of <u>  Perpendicular Lines .</u>

Step-by-step explanation:

Given:

y=\dfrac{2}{5}\times x + 1    ......................Equation ( 1 )

5x+2y=-4\\\\\therefore y = \dfrac{-5}{2}\times x-2   ..............Equation ( 2 )

To Find:

Slope of equation 1 = ?

Slope of equation 2 = ?

Solution:

On comparing with slope point form

y=mx+c

Where,

m = Slope

c = y-intercept

We get

Step 1.

Slope of equation 1 = m1 = \dfrac{2}{5}

Step 2.

Slope of equation 1 = m2 = -\dfrac{5}{2}

Step 3.

Product of Slopes = m1 × m2 = \dfrac{2}{5}\times -\dfrac{5}{2}=-1

Product of Slopes = m1 × m2 = -1

Which is the condition for Perpendicular Lines

The slopes are

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