1 It takes Elizabeth 24 minutes to paint 4 chairs. If
Elizabeth paints at a constant rate, what is the
constant of proportionality that relates y, the
number of chairs painted in x minutes?

k = 0.167

Step-by-step explanation:

This is a direct proportion. That is as the number of chairs increases, so does the number of minutes needed.

y=number of chairs

x = time in minutes.

y = k x

4 = k * 24            Divide by 24

4/24 = k

You could leave it that way.

or you could do the division

k = 1/6 = 0.167

y = 0.167 x

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!