Question
The equation \( y=15.7 x+459 \) can be used to predict the cost of renting a studio apartment in a certain housing complex, where \( x \) is the number of years since 2005. What is the best prediction for the cost of renting a studio apartment in this complex in 2025? \( \$ 314.00 \) \( \$ 392.50 \) \( \$ 773.00 \) \( \$ 851.50 \)
Ask by Wells Smith. in the United States
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The cost of renting a studio apartment in 2025 is predicted to be \$773.00.
Solution
To predict the cost in 2025, determine how many years have passed since 2005. Since 2025 – 2005 = 20, plug x = 20 into the equation:
y = 15.7(20) + 459
y = 314 + 459
y = 773
Thus, the best prediction for the cost of renting a studio apartment in 2025 is $773.00.
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Simplify this solution Beyond the Answer
To find the predicted cost of renting a studio apartment in 2025, we need to determine the value of \( x \). Since \( x \) represents the number of years since 2005, we calculate: \[ x = 2025 - 2005 = 20 \] Now, we substitute \( x = 20 \) into the equation: \[ y = 15.7(20) + 459 \] Calculating this gives: \[ y = 314 + 459 = 773 \] So, the best prediction for the cost of renting a studio apartment in this complex in 2025 is \( \$773.00 \).
