Answer:
D(t) = 3 + 0.0(80 - t)
Step-by-step explanation:
The average of speed of Laura in miles per hour is given by:
S(t) = 6 + 0.1(80 - t) Equation 1
where, t is the temperature in degrees Fahrenheit.
The distance D, Laura covers at x miles per hour is given as:
D(x) = 0.5x Equation 2
We need to find the expression that models the distance that Laura runs in terms of the temperature "t"
The "x" in Equation 1 represents the average speed of Laura in miles per hour. S(t) in Equation 1 also represent the speed of Laura in miles per hour. So, we can replace x by S(t) in Equation 2 and generate an equation of Distance in terms of temperature "t" as shown below:
D(S(t)) = 0.5 (6 + 0.1(80-t))
D(t) = 3 + 0.0(80 - t)
This expression models the distance that Laura runs in 30 minutes given that it is t∘F outside at the start of her run.
