Mathematics, 16.10.2020 14:01 bailee37

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 from: thnguyen0720

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,

$\bold{Speed=\dfrac{Distance}{Time}}$

Therefore,

$\bold{Distance= Speed\times Time}$

Now, distance expressed as function of time and solve it further,

$\bold{F(t)= s\times t}$

It is given that, speed =15 miles/hr.

Therefore,

$\bold{F(t)= 15 t}$

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.

$20 minutes= \dfrac{1}{3}hour$

Substitute this value in above equation that is F(t)= 15t .

We get,

$F(t)= 15\times\dfrac{1}{3} miles/hr$

$\bold{F(t)= 5miles/hr}$

Hence, the bee has to be flown 5 miles/hr far after 20 minutes.

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,

$\begin{aligned}12& = 15t\\t&= \dfrac{12}{15} \\t&=0.8 hours\end{aligned}$

Hence, the bees would be take 0.8 hours to fly 12 miles.

For further details, please refer this link:

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Answer from: mtolds1952

Step-by-step explanation:

Speed of the bee = 15 miles per hour.

Formula to represent the speed of the bee will be,

Speed = $\frac{\text{distance}}{\text{Time}}$

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 ≈ $\frac{1}{3}$ hours

F(t) = 15t

F(20) = $15\times \frac{1}{3}$ = 5 miles

C). If f(t) = 12 miles

F(t) = 15t

By substituting these values in the function,

12 = 15t

t = $\frac{12}{15}$ = 0.8 hours ≈ 48 minutes

Answer from: Quest

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

Answer from: Quest

step-by-step explanation:

the word superfluous means unnecessary

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A bee flies 15 miles per hour. Use the formula for distance, rate, and time to answer questions A-C....

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