Question

During a family trip, you share the driving with your dad. At most, you are allowed to drive for three hours. While driving, your maximum speed is 55 miles per hour. a) Write a system of inequalities describing the possible numbers of hours, t, and the distance, d, you may have to drive.

Answer 1

`\begin{gathered} \text{The system of inequalities are;} \\ d\text{ }\leq\text{ 165 miles and t }\leq\text{ 3 hours} \end{gathered}`

Here, we want to writw an inequality to describe the information given.

When we say at most, it means the expected values may be less than or equal to but can never be more than

Mathematically;

`\text{distance d = sp}eed\text{ }*\text{ time t}`

From the question, we are told that the maximum driving time is 3 hours; the inequality here will be;

`t\text{ }\leq\text{ 3 hours}`

For the distance d, we have;

`\begin{gathered} d\text{ }\leq\text{ 3 }*\text{ 55} \\ \\ d\text{ }\leq\text{ 165 miles} \end{gathered}`