Question

wer each part. If necessary, round your answers to a) Josh runs 8 miles in 62 minutes. How many miles does he run per minute? miles per minute b) Yolanda bought 16 pounds of flour for $8. How many pounds of flour did she get per dollar? pounds per dollar

Answer 1

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:

`\begin{gathered} d\text{ = 8 miles} \\ t\text{ = 62 minutes} \end{gathered}`

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:

`\text{Mileage = }(d)/(t)`

We will simply plug in the respective quantities in the above ratio as follows:

`\begin{gathered} \text{Mileage = }(62)/(8) \\ \\ \text{Mileage = 7.75 miles} \end{gathered}`

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:

`\begin{gathered} \text{Units . Tenths Hundreths Thousandths} \\ \text{ 7 . 7 5 0} \end{gathered}`

Whenerver we round off to the nearest "hundreths" we compare the " thousandths" digit with the following to conditions:

`\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}`

The answer rounded to the nearest 100th is:

`7.75(miles)/(\min )`

Yolonda bougth ( n ) pounds of flour for ( S ) dollars as follows:

`\begin{gathered} n\text{ = 16} \\ S\text{ = \$8} \end{gathered}`

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 ).

`\text{Flour per dollar = }(n)/(S)`

We will simply plug in the respective quantities in the above ratio as follows:

`\begin{gathered} \text{Mileage = }(62)/(8) \\ \\ \text{Mileage = 7.75 miles} \end{gathered}`