at the bowling alley Angela rented shoes for $3.00. It cost her $2.50 to bowl each game. develop an equation using the form C(x)=mx+b, where C(x) is the total cost and x is the number of games bowled.
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c(x) = 2.50x + 3.00
To develop an equation using the form C(x) = mx + b, we need to determine the values for m and b in the equation.
In this scenario, Angela rented shoes for $3.00, which is a one-time cost and does not depend on the number of games bowled. Therefore, this is represented by the value of b in our equation.
The cost of bowling each game is $2.50. As x represents the number of games bowled, the cost of bowling x games would be 2.50 * x. This is represented by the value of mx in the equation.
Adding both components, the total cost (C(x)) can be represented by the equation:
C(x) = 2.50x + 3.00
Therefore, the equation C(x) = 2.50x + 3.00 represents the total cost (C(x)) of bowling x games, where C(x) is the cost, x is the number of games bowled, 2.50 is the cost per game, and 3.00 is the cost for renting shoes.