Amap of a bike race has a scale of 2 inches=50 miles. the distance to the 1st aid station from the starting line is about 1.25" how far is it from the starting line to the 1st aid station in miles round to the nearest mile

Scale ratios are used to represent measurement of different units

The bike is at 31 miles from the starting line

The scale is given as:

2 inches = 50 miles

Double quotes i.e. " represents inches.

So, 1.25" means 1.25 inches

Multiply both sides of the equation 2 inches = 50 miles by 1.25

Divide both sides of the equation by 2

Multiply 25 and 1.25

Approximate

Hence, the bike is at 31 miles from the starting line

Read more about scale ratios at:

link

Given that we know the map scale and the distance in the map, we want to find the distance between the starting line and the 1st aid station, we will see that the distance is 31 miles.

So the scale of the map is:

2 in = 50 miles.

This means that a distance of 2 inches in the map is equivalent to 50 miles in the reality.

And we know that, in the map, there is a distance of 1.25 inches.

Now let's return to the scale:

2 in = 50 miles.

Dividing both by 2, we get:

(2 in)/2 = (50 miles)/2

1 in = 25 mi

Now we can rewrite the distance in the map as:

1.25 in = 1.25*( 1 in)

And we know that 1 in = 25 mi, then we can write:

1.25 in = 1.25*( 1 in) = 1.25*( 25 mi) = 31.25 mi

Rounding to the nearest mile, we get 31 miles.

So the distance between the starting line and the 1st aid station is 31 miles.

If you want to learn more, you can read:

link

Yes, it is a constant function with no slope.