The Patel family looks at a map to plan their family vacation. They plan to travel from Smithville to Jonesville, which are 334inches apart on the map. Then they plan to travel from Jonesville to Clarksville, which are 514inches apart on the map. The scale on the map is 12 inch equals 4 miles. What is the actual distance the Patel family will travel by the time they reach Clarksville?
Accepted Solution
A:
Answer:[tex]282.67\ mi[/tex] or [tex]282\frac{2}{3}\ mi[/tex]Step-by-step explanation:step 1Find the total distance on a map between Smithville to Clarksville[tex]334+514=848\ in[/tex]step 2Find the actual distanceThe scale on a map is equal to [tex]\frac{12}{4}\frac{in}{mi}[/tex]Applying proportion[tex]\frac{12}{4}\frac{in}{mi}=\frac{848}{x}\frac{in}{mi}\\ \\x=848*4/12\\ \\x=282.67\ mi[/tex]Convert to mixed number[tex]282.67\ mi=282\frac{2}{3}\ mi[/tex]