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A bee flies 15 miles per hour. Use the formula for distance, rate, and time to answer questions A-C. A. Write the bee's distance as a function of time. ______________ B. Write and solve an equation to show how far the bee has flown after 20 minutes. Equation: ______________ Solution: ______________ C. Use the equation to show how long it takes the bee to fly 12 miles. Function: ______________ Solution: ___________________

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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      

shristiparmar1221

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

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