onstruct Functions to Model Linear Relationships A car moving at a constant speed passed a timing device at t=0 After 9 seconds, the car has traveled 747 ft. Write a linear function rule to model th seconds t after passing the timing device. The linear function rule is d =

## Step 1 problem involves modeling a linear relationship, which is a fundamental concept in algebra. The problem provides us with two key pieces of information: the car's speed and the time it has traveled. The car's speed is constant, which means it travels the same distance in it has traveled is 9 seconds, and the distance it has traveled is 747 feet.<br /><br />## Step 2<br />To find the speed of the car, we divide the total distance traveled by the total time taken. This is because speed is defined as the distance traveled per unit of time.<br /><br />### **Speed = \frac{Distance}{Time}**<br /><br />## Step 3<br />Substituting the given values into the formula, we get:<br /><br />### **Speed = \frac{747}{9} = 83 ft/s**<br /><br />## Step 4<br />Now that we have the speed, we can write the linear function rule. The linear function rule is typically written in the form \(d = vt\), where \(d\) is the distance, \(v\) is the speed, and \(t\) is the time.<br /><br />## Step 5<br />Substituting the speed we found into the linear function rule, we get:<br /><br />### **d = 83t**