Question
For the linear model, y = -67.9x +679, the distance, in miles y, is a function of time, x, in hours. Use the model to calculate the total distance, in miles, at x = 2 hours.
814.8 miles
543.2 miles
cannot be determined
10 miles
814.8 miles
543.2 miles
cannot be determined
10 miles
Answers
GPT-4o mini
To find the total distance at \( x = 2 \) hours using the linear model \( y = -67.9x + 679 \), we substitute \( x \) with 2:
\[
y = -67.9(2) + 679
\]
Calculating it step by step:
1. Calculate \( -67.9(2) \):
\[
-67.9 \times 2 = -135.8
\]
2. Substitute this value back into the equation:
\[
y = -135.8 + 679
\]
3. Now perform the addition:
\[
y = 543.2
\]
Thus, the total distance at \( x = 2 \) hours is **543.2 miles**.
\[
y = -67.9(2) + 679
\]
Calculating it step by step:
1. Calculate \( -67.9(2) \):
\[
-67.9 \times 2 = -135.8
\]
2. Substitute this value back into the equation:
\[
y = -135.8 + 679
\]
3. Now perform the addition:
\[
y = 543.2
\]
Thus, the total distance at \( x = 2 \) hours is **543.2 miles**.