Raj is deciding between two cell phone plans, A and B, which are both linear functions. The monthly charge for plan A according to the number of minutes used is shown in the table. Monthly Charge for Plan A Minutes used, x Monthly charge dollars , y 0 14 point 4 5 3 14 point 8 4 6 15 point 2 3 9 15 point 6 2 12 16 point 0 1 Plan B has the same monthly base charge as plan A, but it charges a different amount per minute used. If the total monthly charge for plan B is 22 dollars 10 when 45 minutes are used, what is the slope of the linear function that represents the cost of plan B?
The table shows that Plan A’s charge at 0 minutes is $14.40, so Plan B has the same base charge. For Plan B, the charge increases by $22.10 − $14.40 = $7.70 over 45 minutes. Its slope is $7.70 ÷ 45 ≈ $0.17 per minute, so the correct choice is 0.17.
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