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Maya is running a 10km race. She wants to write an equation for her average rate (r) given the time it takes her to finish (t). How should Maya write her equation? Choose 1 answer: (A) 10=rt (B) (10 )/(t)=r (c) (10 )/(r)=t

Maya is running a 10 km 10 \mathrm{~km} race. She wants to write an equation for her average rate (r) (r) given the time it takes her to finish (t) (t) .\newlineHow should Maya write her equation?\newlineChoose 11 answer:\newline(A) 10=rt 10=r t \newline(B) 10t=r \frac{10}{t}=r \newline(C) 10r=t \frac{10}{r}=t

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Q. Maya is running a 10 km 10 \mathrm{~km} race. She wants to write an equation for her average rate (r) (r) given the time it takes her to finish (t) (t) .\newlineHow should Maya write her equation?\newlineChoose 11 answer:\newline(A) 10=rt 10=r t \newline(B) 10t=r \frac{10}{t}=r \newline(C) 10r=t \frac{10}{r}=t
  1. Define Average Rate Equation: Maya wants to find her average rate rr for a 1010km race given the time tt it takes her to finish. The average rate is defined as the total distance traveled divided by the total time taken. Therefore, the equation relating distance, rate, and time is distance=rate×time\text{distance} = \text{rate} \times \text{time}.
  2. Rearrange Equation for Rate: To solve for the average rate rr, we need to rearrange the equation to solve for rr. The original equation is distance = rate ×\times time, which can be written as d=rtd = rt, where dd is the distance. Since Maya's race is 1010km, we can substitute dd with 1010km.
  3. Substitute Values and Solve: Now we have 10 km=r×t10\,\text{km} = r \times t. To solve for rr, we need to divide both sides of the equation by tt. This gives us r=10 kmtr = \frac{10\,\text{km}}{t}. This equation represents the average rate (rr) as the distance (10 km10\,\text{km}) divided by the time (tt).
  4. Match with Answer Choices: Looking at the answer choices, we can see that (B)10t=r(B) \frac{10}{t}=r matches the equation we derived. Therefore, the correct way for Maya to write her equation for her average rate given the time it takes her to finish is (B)10t=r(B) \frac{10}{t}=r.

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