Atortoise and a hare are having a race the tortoise is crawls at a constant rate without stopping. the hare(who is confident he will win) hops ahead, stops to wait for the tortoise to catch up than hops again. imagine you plot both animals progress on a distance-time graph ( to create a visual aid for this problem) what is the slope of the hares line on the graph during the time that he is stopped waiting for the tortoise to catch up?
a.0
b. 1
c. 2
d. the line becomes perfectly vertical

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.