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\( \partial \) VPD \( 13 \% \) © Score: 2/12 Penalty: 1 off Question Show Examples til: January 24 at 8:00 Complete: 25\% (pression from \( (m x+b) \) Eva is driving to a concert and needs to pay for parking. There is an automatic fee of \( \$ 12 \) just to enter the parking lot, and when she leaves the lot, she will have to pay an additional \( \$ 4 \) for every hour she had her car in the lot. How much total money would Eva have to pay for parking if she left her car in the lot for 5 hours? How much would Eva have to pay if she left her car in the lot for \( t \) hours? Answer Attempt 1 out of 2 Cost of parking for 5 hours: \( \square \) Cost of parking for \( t \) hours: \( \square \) Submit Answer Atkia Log Out

Ask by Guzman Parry. in the United States
Jan 23,2025

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Answer

Eva pays \$32 for parking her car for 5 hours. For \( t \) hours, she pays \( 12 + 4t \) dollars.

Solution

To determine the total parking cost for Eva, we'll break down the costs based on the information provided: 1. **Fixed Entry Fee:** \$12 (paid when entering the parking lot) 2. **Hourly Fee:** \$4 per hour (paid upon exiting) ### 1. **Cost for 5 Hours:** \[ \text{Total Cost} = \text{Fixed Entry Fee} + (\text{Hourly Fee} \times \text{Number of Hours}) \] \[ \text{Total Cost} = \$12 + (\$4 \times 5) = \$12 + \$20 = \$32 \] **Answer:** Eva would pay **\$32** for parking her car for 5 hours. --- ### 2. **Cost for \( t \) Hours:** Using the same formula, but replacing **5** with **\( t \)**: \[ \text{Total Cost} = \$12 + (\$4 \times t) = 12 + 4t \] **Answer:** Eva would pay **\( 12 + 4t \)** dollars for parking her car for \( t \) hours. --- **Summary:** - **5 Hours:** \$32 - **\( t \) Hours:** \( 12 + 4t \) dollars

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The Deep Dive

To calculate the total cost of parking for Eva when she leaves her car for 5 hours, we start with the initial fee of \( \$ 12 \) and add the charge for the hours parked. After 5 hours, that additional charge is \( 4 \times 5 = 20 \). So, the total cost for parking for 5 hours is \( 12 + 20 = \$ 32 \). If she parks for \( t \) hours instead, the total cost can be represented as \( C(t) = 12 + 4t \). This means for every hour \( t \), she adds \( 4 \) to her parking fee, making it flexible for her parking duration!

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