Matthew rides his bike 12 miles in 3 hours. If he rides at a constant speed, select the answers below that are equivalent ratios to the speed he rides. Select all ratios that are equivalent. A. $$ \square 8 $$ miles in 3 hours B. $$ \square 4 $$ miles in 1 hour C. $$ \square 24 $$ miles in 6 hours D. $$ \square 20 $$ miles in 6 hours

Question

UpStudy AI · Accepted Answer

First, determine Matthew's speed:
$$
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{12\text{ miles}}{3\text{ hours}} = 4\text{ miles per hour}.
$$

Now, check each option:

- **Option A: 8 miles in 3 hours**
  $$
  \text{Speed} = \frac{8}{3} \approx 2.67\text{ mph} \quad (\text{Not equal to } 4\text{ mph}).
  $$

- **Option B: 4 miles in 1 hour**
  $$
  \text{Speed} = \frac{4}{1} = 4\text{ mph} \quad (\text{Equal to } 4\text{ mph}).
  $$

- **Option C: 24 miles in 6 hours**
  $$
  \text{Speed} = \frac{24}{6} = 4\text{ mph} \quad (\text{Equal to } 4\text{ mph}).
  $$

- **Option D: 20 miles in 6 hours**
  $$
  \text{Speed} = \frac{20}{6} \approx 3.33\text{ mph} \quad (\text{Not equal to } 4\text{ mph}).
  $$

The ratios equivalent to Matthew's speed are found in **Options B and C**.
Options B and C are equivalent to Matthew's speed.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Extra Insights

preguntas relacionadas

Latest Arithmetic Questions