Respuesta :
We will investigates the application of ratios in the form of rates expressed in our daily lives.
Josh runs a certain distance ( d ) for certain amount of time ( t ) as follows:
[tex]\begin{gathered} d\text{ = 8 miles} \\ t\text{ = 62 minutes} \end{gathered}[/tex]We are to determine the performance of Josh in terms of a parameter called mileage. This is expressed as a ratio of total distance travelled ( d ) miles in time ( t ) minutes as follows:
[tex]\text{Mileage = }\frac{d}{t}[/tex]We will simply plug in the respective quantities in the above ratio as follows:
[tex]\begin{gathered} \text{Mileage = }\frac{62}{8} \\ \\ \text{Mileage = 7.75 miles} \end{gathered}[/tex]The procedure off rounding off any decimal value to the nearest hundreth is defined by the placement of digits in their respective places as follows:
[tex]\begin{gathered} \text{Units . Tenths Hundreths Thousandths} \\ \text{ 7 . 7 5 0} \end{gathered}[/tex]Whenerver we round off to the nearest "hundreths" we compare the " thousandths" digit with the following to conditions:
[tex]\begin{gathered} IF(\text{Thousandths digit < 5)} \\ \text{then, Truncate all digits after hundreth position} \\ \\ IF(\text{Thousandths digit }\ge\text{ 5)} \\ \text{then, ( Hundreth digit + 1 ) \& Truncate after hundreth position} \end{gathered}[/tex]The answer rounded to the nearest 100th is:
[tex]7.75\frac{miles}{\min }[/tex]Yolonda bougth ( n ) pounds of flour for ( S ) dollars as follows:
[tex]\begin{gathered} n\text{ = 16} \\ S\text{ = \$8} \end{gathered}[/tex]She wants the determine the amout of flour she can buy for a dollar. This can be expresssed as a ratio of amount ( n ) to price ( S ).
[tex]\text{Flour per dollar = }\frac{n}{S}[/tex]We will simply plug in the respective quantities in the above ratio as follows:
[tex]\begin{gathered} \text{Mileage = }\frac{62}{8} \\ \\ \text{Mileage = 7.75 miles} \end{gathered}[/tex]