The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May her driving cost was $380 for 480 mi and in June her cost was $460 for 800 mi. Assume that there is a linear relationshipbetween the monthly cost C of driving a car and the distance x driven.(a) Find a linear function C that models the cost of drivingx miles per month.(b) Draw a graph of C. What is the slope of this line? (c) At what rate does Lynn’s cost increase for every additional mile she drives?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May her driving cost was $380 for 480 mi and in June her cost was $460 for 800 mi. Assume that there is a linear relationship
between the monthly cost C of driving a car and the distance x driven.
(a) Find a linear function C that models the cost of driving
x miles per month.
(b) Draw a graph of C. What is the slope of this line?
(c) At what rate does Lynn’s cost increase for every additional mile she drives?
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