Respuesta :
We have been given that Kim drew a map of the Mississippi River. The scale was 5 centi-meters represents 120 miles. The actual length of the Mississippi River is 2,320 miles.
We are asked to find the length of Mississippi River on the map.
We will use proportions to find the length of Mississippi River on the map as proportions states that ratio between two proportional quantities is same.
[tex]\frac{\text{Map length}}{\text{Actual length}}=\frac{\text{ 5 cm}}{\text{ 120 miles}}[/tex]
[tex]\frac{\text{Map length}}{\text{2,320 miles}}=\frac{\text{ 5 cm}}{\text{ 120 miles}}[/tex]
[tex]\frac{\text{Map length}}{\text{2,320 miles}}\times \text{2,320 miles}=\frac{\text{ 5 cm}}{\text{ 120 miles}}\times \text{2,320 miles}[/tex]
[tex]\text{Map length}=\text{ 5 cm}\times 19.3333333[/tex]
[tex]\text{Map length}=96.66666666\text{ cm}\approx 96.7\text{ cm}[/tex]
Therefore, the length of Mississippi River on the map is approximately 96.7 cm.
