The closest distance between Earth and Mars is approximately 3.39×10

Question

7
miles.

The fastest rocket leaving Earth travels at an average speed of approximately 3.6×10
4
miles per hour.

(8 points)
A. At that rate, which expression could be used to determine the approximate number of hours it would take the rocket to travel from Earth to Mars?

B. How many hours would it take to travel from Earth to Mars?

Expression

(3.6×10
4
)÷(3.39×10
7
)

(3.6×10
4
)−(3.39×10
7
)

(3.6×10
4
)×(3.39×10
7
)

(3.39×10
7
)÷(3.6×10
4
)

(3.39×10
7
)−(3.6×10
4
)

(3.39×10
7
)×(3.6×10
4
)

Number of hours

942 12,204 106 210

Answer 1

A. To determine the approximate number of hours it would take for the rocket to travel from Earth to Mars, you would use the expression:

\[ \frac{(3.39 \times 10^7 \text{ miles})}{(3.6 \times 10^4 \text{ miles per hour})} \]

This means you divide the distance by the speed.

So the correct expression is:

\[ (3.39 \times 10^7) \div (3.6 \times 10^4) \]

B. Now, let's calculate the number of hours it would take:

\[ \frac{3.39 \times 10^7}{3.6 \times 10^4} \]

To simplify the calculation, we can divide the coefficients and then use the properties of exponents:

1. Divide the coefficients: \[ \frac{3.39}{3.6} \approx 0.94167 \]

2. Subtract the exponents: \[ 10^7 \div 10^4 = 10^{7-4} = 10^3 \]

3. Putting it together: \[ 0.94167 \times 10^3 \approx 941.67 \]

Rounding this gives approximately:

942 hours.

So, the number of hours it would take to travel from Earth to Mars is approximately 942 hours.