Final answer:
Heather will take 19.25 minutes to run 2 3/4 miles, according to the equation T=7m.
Step-by-step explanation:
The equation T=7m shows the time, in minutes (T), it takes for Heather to run a specific number of miles (m). To find out how long it will take Heather to run 2 3/4 miles, we convert 2 3/4 miles into a decimal form, which is 2.75 miles. By following the established rate, we multiply 2.75 (the number of miles) by 7 (minutes per mile).
Calculating the time T would look like this:
T = 7 × 2.75
T = 19.25
Therefore, it will take Heather 19.25 minutes to run 2 3/4 miles.
In the given equation, T=7m, T represents the time in minutes and m represents the number of miles. To find how long it would take Heather to run 2 3/4 miles, we need to substitute the value of m into the equation and solve for T.
T = 7 ∗ 2.75
T = 19.25 minutes
Therefore, it would take Heather approximately 19.25 minutes to run 2 3/4 miles.