For exercise after work, Albert (A) went running and Tanisha (T) walked for exercise. Their times and distances are shown in the graph below. How much faster was Albert running than Tanisha walking, in miles per hour? Explain how you found your answer. image

A.
Albert ran 3 miles per hour faster because Albert runs 6 miles per hour and Tanisha walks 3 miles per hour.

B.
Albert ran 10 miles per hour faster because Albert runs 10 miles per hour and Tanisha walks 20 miles per hour.

C.
Albert ran 3 miles per hour faster because Albert runs 10 miles per hour and Tanisha walks 20 miles per hour.

D.
Albert ran 10 miles per hour faster because Albert runs 6 miles per hour and Tanisha walks 3 miles per hour.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

c = 0.429t

step-by-step explanation:

the constant rate at which carlos harvests cassava is 35 minutes per 15 cassavas 15/35 = 0.429 cassava per minute

therefore, an equation that models the number of cassava (c) that harvest carlos in a time (t) is the following:

where t is the time in minutes.

this means that when 35 minutes have elapsed 15 cassava have been harvested, at 70 minutes 30 cassava have been harvested and so on.

sorry not knowing about that