Suppose that a car rental agency gave you the following choices.
Option A $30 per day plus 40¢ per mile
Option B flat $50 per day
(a) Write equations for cost per day c for options A and B. (Use m for distance in miles.)
c = $
(option A)
c = $
(option B)
(b)How would i graph the equations for options A and B.
a) A: c = $30 + 0.40m
B: c = $50
b) you would have miles on the x-axis and cost on the y-axis. Option a will be a sloped line and option b will be a flat line at $50.
(a) To write the equations for the cost per day (c) for options A and B, we can use the given information.
For option A, the cost per day is $30 plus 40¢ per mile. Since we are using m to represent the distance in miles, we can write the equation as:
c (option A) = $30 + 0.40m
For option B, the cost per day is a flat $50. Therefore, the equation for option B will be:
c (option B) = $50
(b) To graph the equations for options A and B, we can use a Cartesian coordinate system with the x-axis representing the distance in miles (m) and the y-axis representing the cost per day (c).
For option A, we plot the points where the x-values represent the distance in miles and the y-values represent the cost per day. Each point will be a combination of (m, c). We can choose arbitrary values for m and then calculate c using the equation c (option A) = $30 + 0.40m. Plot several of these points and connect them to form a line.
For option B, since it is a flat rate, the cost per day remains constant, regardless of the distance. Therefore, the graph for option B will be a horizontal line at the height of $50 on the y-axis.
By plotting these points and lines, you will have a visual representation of the two options and how their costs vary with distance.