QQuestionMathematics
QuestionMathematics
"A speed limit of 100 kilometers per hour (kph) is approximately equal to 62 miles per hour (mph). Write an equation relating kilometers per hour, k, to miles per hour, m. Then predict the following measures. Round to the nearest tenth.
a) A speed limit in mph for a speed limit of 75 kph.
b) A speed limit in kph for a speed limit of 20 mph.
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Answer
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Step 1:Let's solve this problem step by step:
Step 2:: Establish the Conversion Relationship
- $$k$$ represents kilometers per hour
We know that 100 kph ≈ 62 mph. We can create a linear conversion equation: Where:
Step 3:: Rearrange the Equation to Solve for k
k = \frac{m}{0.62}
To solve for kilometers per hour, we'll rearrange the equation: Part a) Converting 75 kph to mph
Step 4:: Calculate mph for 75 kph
Rounding to the nearest tenth: $$m = 46.5$$ mph
Part b) Converting 20 mph to kph
Step 5:: Calculate kph for 20 mph
Rounding to the nearest tenth: $$k = 32.3$$ kph
Final Answer
a) 46.5 mph b) 32.3 kph
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