During a renovation project, a city's main highway was extended from $85$ miles to $88 \mathrm{miles}$ . Of the following, which is closest to the increase in the highway's length, in kilometers? ( $1$ mile is approximately $1$ . $6$ kilometers)

Full solution

Q. During a renovation project, a city's main highway was extended from

85

miles to

88 \mathrm{miles}

. Of the following, which is closest to the increase in the highway's length, in kilometers? (

1

mile is approximately

1

6

kilometers)

Find Increase in Length: First, we need to find the increase in the highway's length in miles. $\newline$ Increase in miles = New length - Original length $\newline$ Calculation: $88$ miles - $85$ miles = $3$ miles
Convert to Kilometers: Next, we convert the increase in miles to kilometers using the given conversion factor, where $1$ mile is approximately $1.6$ kilometers. $\newline$ Calculation: $3$ miles $*$ $1.6$ kilometers/mile = $4.8$ kilometers
Determine Closest Option: Now, we need to determine which of the given options is closest to the calculated increase in kilometers. Since we have calculated the exact increase to be $4.8$ kilometers, we can conclude that the closest value to this is $4.8$ kilometers itself.