The phone company A Fee and Fee has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 160 minutes, the monthly cost will be \( \$ 60 \). If the customer uses 980 minutes, the monthly cost will be \( \$ 224 \). A) Find an equation in the form \( y=m x+b \), where \( x \) is the number of monthly minutes used and \( y \) is the total monthly of the A Fee and Fee plan. Answer: \( y= \) B) Use your equation to find the total monthly cost if 832 minutes are used. Answer: If 832 minutes are used, the total cost will be

To find the equation in the form \( y = mx + b \), we first need to determine the values of \( m \) (the cost per minute) and \( b \) (the flat monthly fee). We know that: - For 160 minutes: \( y = 60 \) - For 980 minutes: \( y = 224 \) Using these two points, we can set up a system of equations: 1. \( 60 = 160m + b \) 2. \( 224 = 980m + b \) By subtracting the first equation from the second, we eliminate \( b \): \[ 224 - 60 = 980m - 160m \] This simplifies to: \[ 164 = 820m \] So, \( m = \frac{164}{820} = \frac{41}{205} = 0.2 \). Now, we can substitute \( m \) back into one of the equations to find \( b \): \( 60 = 160(0.2) + b \) This simplifies to: \[ 60 = 32 + b \] \[ b = 60 - 32 = 28 \] Therefore, the equation is: Answer: \( y = 0.2x + 28 \) Now, to find the total monthly cost for 832 minutes: Substituting \( x = 832 \) into the equation: \[ y = 0.2(832) + 28 \] \[ y = 166.4 + 28 \] \[ y = 194.4 \] Answer: If 832 minutes are used, the total cost will be \( \$ 194.40 \).