toby works at an amusement park. he loads 10 new passengers onto the roller coaster every $\frac{3}{4}$ of a…

toby works at an amusement park. he loads 10 new passengers onto the roller coaster every $\frac{3}{4}$ of a minute. at what rate does toby load passengers? simplify your answer and write it as a proper fraction, mixed number, or whole number. passengers per minute

toby works at an amusement park. he loads 10 new passengers onto the roller coaster every $\frac{3}{4}$ of a minute. at what rate does toby load passengers? simplify your answer and write it as a proper fraction, mixed number, or whole number. passengers per minute

Answer

Explanation:

Step1: Recall rate - formula

The rate is calculated as the number of passengers divided by the time. Let the rate be $r$, the number of passengers be $n = 10$, and the time be $t=\frac{3}{4}$ minute. The formula for rate is $r=\frac{n}{t}$.

Step2: Substitute values

Substitute $n = 10$ and $t=\frac{3}{4}$ into the formula: $r=\frac{10}{\frac{3}{4}}$.

Step3: Divide by a fraction

Remember that dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{10}{\frac{3}{4}}=10\times\frac{4}{3}$.

Step4: Calculate the product

$10\times\frac{4}{3}=\frac{40}{3}=13\frac{1}{3}$.

Answer:

$13\frac{1}{3}$