Q:

# 3. In order to enter the state fair, there isan admission cost. Each game is $3.Steven went to the state fair, played4 games and spent a total of$20 onadmission and games. Assume therelationship is linear. Find and interpretthe rate of change and the initial value.​

Accepted Solution

A:
Answer:C = 8 + 3xThe rate of change in the above equation is 3 dollars per game and it interpret the cost per game.The initial value in the above equation is 8 dollars, which interpret the entry fee that every one person has to pay to enter the fair.Step-by-step explanation:Let the admission cost of the fair is $x and each game is$3. Now, Steven went to the state fair, played  4 games and spent a total of $20 on admission and games. So, we can write 20 = x + 4 × 3 {As the relation is linear} ⇒ x =$8 Therefore, the admission cost in the fair is \$8. Therefore, the equation that models the situation is  C = 8 + 3x ............ (1) Where C is the total cost and x is the number of games played. So, the rate of change in equation (1) is 3 dollars per game and it interprets the cost per game. Again, the initial value in equation (1) is 8 dollars, which interprets the entry fee that each person has to pay to enter the fair. (Answer)