Question

For exercises 46 and 47, use the following information.

On some interstate highways, the maximum speed a car may drive is 65 miles per hour. A tractor-trailer may not drive more than 55 miles per hour. The minimum speed for all vehicles is 45 miles per hour.

46. Write an inequality to represent the allowable speed for a car on an interstate highway.

Short answer

$\mathbf{45}\le \mathbf{s}\le \mathbf{65}$

Step-by-step solution

– Description of step.

A maximum speed of car on interstate highway is $65$ miles per hour and a minimum speed for a car on interstate highway is $45$ miles per hour.

– Description of step.

To represent the allowable speed of a car in the form of an inequality, we need to define a variable for a speed of a car.

Let $s$ be the speed of the car.

– Description of step.

Write an inequality using the information in step 1 to represent the allowable speed of a car on an interstate highway.

$45\le s\le 65$

Therefore, the allowable speed of a car on an interstate highway is $45\le s\le 65$.