A construction crew is lengthening a road that originally measured 15 miles.the crew is adding one mile to the road each day let k be the length (in miles) after D days of construction
Write an equation relating l to d.then graph your equation using the axes below
The equation relating length (l) to days of construction (d) can be written as:
l = 15 + d
This equation shows that the length of the road (l) is equal to the original length of 15 miles plus the number of days of construction (d) multiplied by 1 mile added each day.
To graph this equation, we can use the axes below:
x-axis: Days of construction (d)
y-axis: Length of road (l)
The graph would start at (0, 15) since the road initially measured 15 miles. From there, we can plot additional points by adding one to the x-coordinate (d) and calculating the y-coordinate (l) using the equation l = 15 + d.
For example:
- After 1 day of construction (d = 1), the length of the road would be 15 + 1 = 16 miles, so we can plot the point (1, 16).
- After 2 days of construction (d = 2), the length would be 15 + 2 = 17 miles, so the point can be plotted as (2, 17).
- And so on...
By connecting these points, we would obtain a straight line with a slope of 1, showing how the road lengthens by one mile each day.