Question

The InSight robotic lander traveled from Earth to Mars. The distance between the planets is approximately 3 x 108 miles and the robotic lander took 200 days.
How many miles, written in scientific notation, did the robotic lander travel per day?
А
1.5 x 104 miles
B
1.5 x 107 miles
С
1.5 x 106 miles
C D
1.5 x 10 miles

Answer 1

The question is an illustration of unit rates or speed

The number of miles travelled per day is $1.5\times 10^6$

The distance and the number of days are given as:

$Distance = 3 \times 10^8\ miles$

$Time = 200\ days$

The number of miles traveled daily is calculated by calculating the speed of the robotic lander.

So, we have:

$Speed = \frac{Distance}{Time}$

This gives

$Speed = \frac{3 \times 10^8\ miles}{200\ days}$

Divide 10^8 by 200

$Speed = 3 \times 500000\ miles/ day$

Multiply the factors

$Speed = 1500000\ miles/ day$

Express as scientific notation

$Speed = 1.5\times 10^6 miles/ day$

Hence, the number of miles travelled daily is $1.5\times 10^6$

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