Answer :
Given:
The Benjamin's distance from City A, t hours after leaving his house is
[tex]D=260-65t[/tex]
To find:
The slope of the equation and what is its interpretation in the context of the problem?
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m (coefficient of variable x) is slope and b is y-intercept.
We have, the equation
[tex]D=260-65t[/tex]
It is a linear equation and the coefficient of variable t is -65. So, the slope of the equation -65.
It means, the Benjamin's distance from City A is decreases at the rate of 65 units per hour or we can say the speed of Benjamin is 65 units per hour.
Therefore, slope of the equation -65. It means, Benjamin's distance from City A is decreases at the rate of 65 units per hour.
Answer:
The slope of the function is -65 which reveals the average speed that Benjamin travels, in miles per hour.
Step-by-step explanation:
The slope shows how much the distance to City A decreases each hour, implying that Benjamin is driving an average speed of 65 miles per hour.
Have a good day :)