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Question

A person travelled 500 m at a certain speed. After that, he travels at a constant speed of 2 km for every 1 h. Write the equation for distance travelled (in km) by him.

A
y = 2x + 5
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B
y = 2x + 0.5
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C
y = 2x + 30
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D
y = 2x + 30
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Solution

The correct option is B y = 2x + 0.5
Distance covered by the person for every 1 h = 2 km = Rate of change

∴ Slope (m) = unit rate of change = 2

Initial distance covered by the person (b) = 500 m = 0.5 km

The slope intercept equation is written as: y=mx+b

Substituting the values of m and b there, we get:
y=2x+0.5

Therefore, the equation for the distance covered by the person is y = 2x + 0.5.

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