Question
Taryn likes to run races. She tracked the data from her last 10 races and created a model. The dataset comparing the total distance of a race in kilometers, x, with the total time to complete the race in minutes, y, is represented by the equation y=5.93x+0.04
. Use the model to predict the total distance (in kilometers) that Taryn can run in 45 minutes. Round to the nearest hundredth.(1 point)
Responses
266.89 kilometers
266.89 kilometers
7.60 kilometers
7.60 kilometers
266.81 kilometers
266.81 kilometers
7.58 kilometers
. Use the model to predict the total distance (in kilometers) that Taryn can run in 45 minutes. Round to the nearest hundredth.(1 point)
Responses
266.89 kilometers
266.89 kilometers
7.60 kilometers
7.60 kilometers
266.81 kilometers
266.81 kilometers
7.58 kilometers
Answers
GPT-4o mini
To predict the total distance Taryn can run in 45 minutes using the model \( y = 5.93x + 0.04 \), we need to set \( y = 45 \) (the total time in minutes) and solve for \( x \) (the total distance in kilometers).
1. Set the equation:
\[
45 = 5.93x + 0.04
\]
2. Subtract 0.04 from both sides:
\[
45 - 0.04 = 5.93x
\]
\[
44.96 = 5.93x
\]
3. Divide both sides by 5.93 to find \( x \):
\[
x = \frac{44.96}{5.93} \approx 7.58
\]
Rounded to the nearest hundredth, the total distance Taryn can run in 45 minutes is approximately **7.58 kilometers**.
So the correct response is:
**7.58 kilometers**.
1. Set the equation:
\[
45 = 5.93x + 0.04
\]
2. Subtract 0.04 from both sides:
\[
45 - 0.04 = 5.93x
\]
\[
44.96 = 5.93x
\]
3. Divide both sides by 5.93 to find \( x \):
\[
x = \frac{44.96}{5.93} \approx 7.58
\]
Rounded to the nearest hundredth, the total distance Taryn can run in 45 minutes is approximately **7.58 kilometers**.
So the correct response is:
**7.58 kilometers**.