on a scale of map, 5cm represent 60km. if the distance between two points on the map is 8cm, find the actual distance between these points?

96 kilometers

Step-by-step explanation:

Let's set up a proportion using the following setup.

scale / actual = scale / actual

The scale is 5 cm to 60 km.

5cm / 60 km= scale/ actual

The distance on the map is 8 cm, but the actual distance is unknown. Therefore, we can say the actual distance is x km.

5 cm/ 60 km= 8 cm/ x km

5/60=8/x

Cross multiply. Multiply the numerator of the first fraction by the denominator of the second. Then, multiply the denominator of the first by the numerator of the second.

(5*x)=(8*60)

5x=8*60

5x=480

5 and x are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 5.

5x/5=480/5

x=480/5

x=96

x= 96 km

The actual distance between the two points is 96 kilometers.

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.