let w represent lizette's walking speed. then her running speed is w+6. the relationship between speed, time, and distance is
distance = speed × time
lizette ran for 1.5 hours, then walked for 3 hours. her total distance is
(w+6)·1.5 + w·3 = 18
4.5w + 9 = 18 . . . simplify
4.5w = 9 . . . . . subtract 9
w = 2 . . . . . . divide by 4.5
lizette's walking speed is 2 mph; her running speed is 8 mph.
the slope-intercept form:
m - slope
b - y-intercept
we have the slope m = -3 and the y-intercept b = 1. substitute:
it is a linear function. we need only two points to plot the graph.
select two values of x. put them in the line equation and calculate the values of y.
for x = 0:
for x = 1:
the senior tickets are 9 dollars and 30 cents.