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\( 1 \leftarrow \) A person buys a phone for \( \$ 87 \) and signs up for a single-line phone plan with 2000 monthly anytime minutes. The plan costs \( \$ 113.92 \) per month. Write an equation that can be used to determine the total cost, \( C(t) \), of this phone plan for \( t \) months. Then, find the cost for 21 months, assuming that the number of minutes the person uses does not exceed 2000 per month. An equation that can be used to determine the total cost, \( C(t) \), of the phone plan for \( t \) months is \( C(t)=\square \) (Use integers or decimals for any numbers in the expression.)

Ask by Dickson Sanders. in the United States
Jan 23,2025

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Answer

The total cost \( C(t) \) for \( t \) months is \( C(t) = 87 + 113.92t \). For 21 months, the cost is \$2,479.32.

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The Deep Dive

To determine the total cost, you need to account for both the initial phone cost and the monthly plan cost. The equation can be represented as: \[ C(t) = 87 + 113.92t \] Now, to find the cost for 21 months, plug \( t = 21 \) into the equation: \[ C(21) = 87 + 113.92 \times 21 \] Calculating this gives: \[ C(21) = 87 + 2392.32 = 2479.32 \] So the total cost for 21 months is \( \$ 2479.32 \).

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