q. tom rode his motorcycle 28 miles in half an hour. which option expresses the unit rate of miles per hour.

a. $\frac{1\text{ hour}}{28\text{ miles}}$

b. $\frac{28\text{ miles}}{1\text{ hour}}$

c. $\frac{1\text{ hour}}{56\text{ miles}}$

d. $\frac{56\text{ miles}}{1\text{ hour}}$

Question

q. tom rode his motorcycle 28 miles in half an hour. which option expresses the unit rate of miles per hour.

a. $\frac{1\text{ hour}}{28\text{ miles}}$

b. $\frac{28\text{ miles}}{1\text{ hour}}$

c. $\frac{1\text{ hour}}{56\text{ miles}}$

d. $\frac{56\text{ miles}}{1\text{ hour}}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Rate-Time-Distance Relationship" ], "new_concepts": [ "Unit Rate" ], "current_concepts": [ "Rate-Time-Distance Relationship", "Unit Rate" ] } ## Identify the given values and target $$ \begin{aligned} &\text{Distance} = 28\text{ miles} \ &\text{Time} = 0.5\text{ hours} \ &\text{Target} = \text{Unit rate of miles per hour} \end{aligned} $$ ## Calculate the unit rate $$ \begin{aligned} &\text{Unit Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{28\text{ miles}}{0.5\text{ hours}} = 56\text{ miles per hour} \end{aligned} $$ ## Express as a ratio per 1 hour $$ \begin{aligned} &\text{Unit Rate} = \frac{56\text{ miles}}{1\text{ hour}} \end{aligned} $$

A. $\frac{1\text{ hour}}{28\text{ miles}}$

B. $\frac{28\text{ miles}}{1\text{ hour}}$

C. $\frac{1\text{ hour}}{56\text{ miles}}$

D. $\frac{56\text{ miles}}{1\text{ hour}}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Unit Rate" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given values and target

Calculate the unit rate

Express as a ratio per 1 hour

Answer: