Question

2. Jerry and his family will drive 1,022 miles from Houston to Indianapolis for their summer vacation. They plan to drive between 425 and 475 miles each day. At this rate, which is a reasonable number of days it will take Jerry's family to reach Indianapolis? A. Less than 1 day B.Between 1 and 2 days C. Between 2 and 3 days D.More than 3 days

Answer 1

You know that the total distance from Houston to Indianapolis is 1,022 miles and Jerry and his family plan to drive between 425 and 475 miles each day.

Let's choose 425 miles first. You can find the number of days it will take Jerry's family to reach Indianapolis driving 425 miles per day as following:

`\frac{1,022\text{miles}}{425\frac{\text{miles}}{\text{day}}}=2.40\text{ days}`

Now let's choose the second value (475 miles). You can find the number of days it will take Jerry's family to reach Indianapolis driving 475 miles per day applying the same procedure. You get:

`\frac{1,022\text{miles}}{475\frac{\text{miles}}{\text{day}}}=2.15\text{ days}`

As you can see, it will take Jerry's family between 2 and 3 days to reach Indianapolis if they plan to drive between 425 and 475 miles each day.

The answer is Option C.