When Amy roller-skates, she moves 110 yards per minute. What is her speed in miles per hour? Round your answer to the nearest hundredth. (Hint: 1 yd= 3 ft; 5280 ft = 1 yd.; 60 min= 1 hr)

Now, to convert the speed of Amy into miles per hour, we will first convert the distance from yards into miles and then convert time from minutes to hour.

We know that,

1 yard = 3 feet

∴ 110 yards = 3 × 110 feet = 330 feet

Now, we also know that,

5280 feet = 1 mile

∴ 1 feet = [tex]\frac{1}{5280}[/tex] miles

So, 330 feet = [tex]\frac{1}{5280}\times330[/tex] = [tex]\frac{1}{16}[/tex] miles

∴ 110 yards = 330 feet = [tex]\frac{1}{16}[/tex] miles

Now, 60 min = 1 hr

∴ 1 min = [tex]\frac{1}{60}[/tex] hrs

So, 110 yards = [tex]\frac{1}{16}[/tex] miles and 1 min = [tex]\frac{1}{60}[/tex] hr

So, we can say that, Amy covers a distance of [tex]\frac{1}{16}[/tex] miles in

[tex]\frac{1}{60}[/tex] hr.

We know that,

[tex]speed=\frac{distance}{time}[/tex]

[tex]speed=\frac{(\frac{1}{16}) miles}{(\frac{1}{60})hr}[/tex]

[tex]speed=\frac{60}{16} miles/hr = 3.75 miles/hr[/tex]

Therefore, the speed of Amy in miles/hr is 3.75 miles/hr.