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max2010maxim [7]
2 years ago
11

Need help I don’t understand what it means

Mathematics
1 answer:
netineya [11]2 years ago
7 0

Answer:

b) - 10

Step-by-step explanation:

<h3>Average rate of change:</h3>

To find the average rate of change, we have divide the change in y of f(x) , by the change in x(input).

   \sf \boxed{\text{\bf Average rate of change = $\dfrac{f(b)-f(a)}{b-a}$}}

 a = 4 ; f(a) = -17

b = 6 ;   f(b) = -37

     \sf Average \ rate \ of \ change = \dfrac{-37-[-17]}{6-4}

                                         \sf =\dfrac{-37+17}{2}\\\\=\dfrac{-20}{2}\\\\=-10

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The price of 1 youth ticket is $ 22

<em><u>Solution:</u></em>

Let "y" be the price of 1 youth ticket

Let "a" be the price of 1 adult ticket

To find: price of 1 youth ticket

<em><u>Brianna's family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park</u></em>

So we can frame a equation as:

2 adult tickets x price of 1 adult ticket + 3 youth tickets x price of 1 youth ticket = 134

2 \times a + 3 \times y = 134

2a + 3y = 134 ---- eqn 1

<em><u>Max's family spent $146 on 3 adults tickets and 2 youth tickets</u></em>

So we can frame a equation as:

3 adult tickets x price of 1 adult ticket + 2 youth tickets x price of 1 youth ticket = 146

3 \times a + 2 \times y = 146

3a + 2y = 146 ----- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "y"</u></em>

Multiply eqn 1 by 3

6a + 9y = 402 ---- eqn 3

Multiply eqn 2 by 2

6a + 4y = 292 ----- eqn 4

Subtract eqn 4 from eqn 3

6a + 9y = 402

6a + 4y = 292

( - ) -------------------

5y = 110

y = 22

Thus the price of 1 youth ticket is $ 22

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