The cost of renting a car for a day is $0.50 per mile plus $15 flat fee. a) write an equation to represent this relationship. let x be the number of miles driven and y be the total cost for the day. b). what does the graph of this equation form on a coordinate plane? explain. c) what is the slope and the y-intercept of the graph of the relationship? explain.

A)

B) 0.50

C) y=15

Step-by-step explanation:

Let x be the number of miles traveled by car.

Then according to the problem the function is linear function (y=mx+c )as the rate of change is constant i.e. m= $0.50 per mile, the cost function (y in dollars) is given by

The graph of this equation will form a straight line .

The slope of the line is the rate of change of the function i.e. $0.50 per mile .

Hence, the slope (m)= 0.50

The y intercept occurs when x=0, so put x=0 in the equation we get y=15

 Explained.

Step-by-step explanation: Given that the cost of renting a car for a day is $0.50 per mile plus $15 flat fee. Also, 'x' represents the number of miles driven and 'y' represents the total cost for the day.

(A) The equation which represents the given relationship is

(B) The graph of the equation forms a straight line in the coordinate plane. Because it is a linear equation in two unknown variables 'x' and 'y'. Please see the graph in the attached figure.

(C) The equation of a line in slope-intercept form is

where 'm' is the slope and 'c' is the y-intercept of the line. Comparing this general equation with our equation, we get

So, slope = 0.50  and  y-intercept = 15.

Thus, all the points are explained.

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: