Answer:
slope = 1/4
Step-by-step explanation:
If a equation is in form of y = mx + c
them m is the slope of line.
____________________________________________
Let Y(d) be the distance ran by Alexandria on dth day
Y(0) = 2
she adds 1/4 miles each day then
Y(1) = 2 + 1/4
Y(2) = 2 + 1/4 +1/4 = 2 +1/4(2)
Y(3) = 2 + 1/4 +1/4 +1/4= 2 +1/4(3)
.
.
.
.
similarly
in d days she can run 2 miles + 1/4*d miles
thus, we have
Y(d) = 2 + 1/4(d)
it can be also solved
Thus we see that it is a linear relationship y = 2 + 1/4(d)
which is in the form of y = mx + c
comparing mx to 1/4 d
we have m = 1/4
thus,
slope of this linear relationship is 1/4
