Ed’s rental charges a flat fee of $5 plus $2 per hour to rent a pair of skates.
A. Write an equation to model the cost of renting skates, y, for x hours.
B. Graph the equation. Label the y-intercept.
C. Use the graph to find the cost for renting the skates for 2 hours. Show the details on your graph above.
What is the cost?
A.
Flat doesn't change
2 changes with x
y = 2 x + 5
B.
y-intercept is a point on the graph where x is zero.
y = 2 * 0 + 5 = 0 + 5 = 5
x = 0 , y = 5
x-intercept is a point on the graph where y is zero.
2 x + 5 = 0
2 x = - 5
x = - 5 / 2 = - 2 .5
x = - 2.5 , y = 0
Draw Cartesian coordinate system.
Mark point x = - 2.5 , y = 0 and point x = 0 , y = 5 and draw sraigth line.
Label point x = 0 , y = 5 like y-intercept
C.
In point x = 2 draw a vertical line.
Find point where this vertical line toucing graph.
y coordinate of this point is the cost for 2 hours.
The cost = $9
A. To model the cost of renting skates, we can use the equation y = 5 + 2x, where y represents the total cost of renting skates and x represents the number of hours.
B. To graph this equation, we need to plot points on a coordinate plane. The y-intercept is the value of y when x is 0. In this case, the y-intercept is the flat fee of $5, which means the point (0, 5) is on the graph.
C. To find the cost for renting skates for 2 hours using the graph, we need to locate the point on the graph where x = 2. From the equation y = 5 + 2x, we can substitute x = 2 and solve for y:
y = 5 + 2(2) = 5 + 4 = 9.
The cost for renting skates for 2 hours is $9.