Jalynn and emma enjoy hiking. jalynn hikes 1 mile in 20 minutes. emma hikes at a rate of 3 miles per hour. on sunday at 8: 00 a. m., they both left the trail head. the line representing jaylynn’s progress is graphed.

Which statements are true about the system that models this scenario?

The equations are equivalent so there are an infinite number of solutions.

Both lines will have a y-intercept of (0,0) since both hikers start at 8:00 a.m.

As shown on the graph, both lines have a slope of 1/20 because one must convert to the same units of time.

Step-by-step explanation:

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).