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bixtya [17]
3 years ago
9

In a science-fiction story, a spaceship travels 3 times faster each minute than it traveled during the minute before. If the shi

p travels at 3 km/hr during its first minute of flight, which expression shows the ship's speed in kilometers per hour during the 15th minute?
Mathematics
1 answer:
JulijaS [17]3 years ago
6 0

The expression is:

speed(minutes)=3\frac{km}{h} ^{minutes} \\\\speed(15minutes)=(3^{15})\frac{km}{4} =14348907\frac{km}{g}

Why?

From the statement we know that the spaceship travels 3 times faster each minute that it traveled during the minute before, it can be expressed using an exponential function, its base will be the starting speed (during the first minute).

The expression will be:

speed(minutes)=(3^{minutes})\frac{km}{h} \\\\speed(15minutes)=(3^{15})\frac{km}{h}=14348907\frac{km}{h}

Have a nice day!

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Step-by-step explanation:

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The first step is transpose on of sides to have an expression in one side and zero in the other side:

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