anna wants to take fitness classes. she compares two gyms to determine which would be the best deal for her…
anna wants to take fitness classes. she compares two gyms to determine which would be the best deal for her. fit fast charges a set fee per class. stepping up charges a monthly fee, plus an additional fee per class. what is the system of equations representing these costs?\n○ $y = 5.5x$ and $y = 7.5x + 10$\n○ $y = 7.5x$ and $y = 5.5x$\n○ $y = 7.5x$ and $y = 5.5x + 10$\n○ $y = 7.5x + 10$ and $y = 5.5x + 10$
Answer
Explanation:
Step1: Analyze Fit Fast's cost
Fit Fast charges a set fee per class. Let ( x ) be the number of classes and ( y ) be the total cost. If the per - class fee is, say, ( 7.5 ) (we'll see from the options), the equation is ( y = 7.5x ) (since there's no monthly fee, just cost per class).
Step2: Analyze Stepping Up's cost
Stepping Up charges a monthly fee plus a per - class fee. Let the monthly fee be ( 10 ) and the per - class fee be ( 5.5 ). Then the total cost ( y ) for ( x ) classes is ( y=5.5x + 10 ) (the ( 10 ) is the monthly fee and ( 5.5x ) is the cost for ( x ) classes).
Looking at the options, the system of equations that represents this is ( y = 7.5x ) and ( y=5.5x + 10 ).