Respuesta :
Answer:
Step-by-step explanation:
Speed of the bee = 15 miles per hour.
Formula to represent the speed of the bee will be,
Speed = [tex]\frac{\text{distance}}{\text{Time}}[/tex]
Distance = Speed × Time
Therefore, function representing the distance will be,
F(t) = s × t
Where t = time
s = speed
A). F(t) = 15t
B). If t = 20 minutes ≈ [tex]\frac{1}{3}[/tex] hours
F(t) = 15t
F(20) = [tex]15\times \frac{1}{3}[/tex] = 5 miles
C). If f(t) = 12 miles
F(t) = 15t
By substituting these values in the function,
12 = 15t
t = [tex]\frac{12}{15}[/tex] = 0.8 hours ≈ 48 minutes
This can be determined by using distance speed formula.Thus, the answer of (A) F(t)= 15t, (B) 5 miles/hr, (C)0.8 hours.
Given:
A bee flies 15 miles/hr.
(A) Firstly, we need to determined bee's distance as a function of time.
By the formula of speed distance,
[tex]\bold{Speed=\dfrac{Distance}{Time}}[/tex]
Therefore,
[tex]\bold{Distance= Speed\times Time}[/tex]
Now, distance expressed as function of time and solve it further,
[tex]\bold{F(t)= s\times t}[/tex]
It is given that, speed =15 miles/hr.
Therefore,
[tex]\bold{F(t)= 15 t}[/tex]
Hence,the bee's distance as a function of time is F(t)= 15t.
(B) Time is given that is 20 minutes.
Therefore, convert minutes into hour.
[tex]20 minutes= \dfrac{1}{3}hour[/tex]
Substitute this value in above equation that is F(t)= 15t .
We get,
[tex]F(t)= 15\times\dfrac{1}{3} miles/hr[/tex]
[tex]\bold{F(t)= 5miles/hr}[/tex]
Hence, the bee has to be flown 5 miles/hr far after 20 minutes.
(C) Distance is given as 12 miles.
We need to determined the time it takes the bee to fly 12 miles.
As, we know that distance as a function of time so, F(t)=12miles.
Now, compare both equation (1) and(2) and calculate it further,
F(t)=12 miles and F(t)= 15t
Both have same left hand side. therefore,
[tex]\begin{aligned}12& = 15t\\t&= \dfrac{12}{15} \\t&=0.8 hours\end{aligned}[/tex]
Hence, the bees would be take 0.8 hours to fly 12 miles.
For further details, please refer this link:
https://brainly.com/question/21791162
