1) Given the equation y = 35(0.57)^x a) Does this equation represent growth or decay?
b) What is the rate of growth or decay? (in percent)
c) What is the initial value?
d) Evaluate for x = 3
Can you please provide the work.

1) Given the equation y = 35(0.57)^x

a) Does this equation represent growth or decay? Decay

b) What is the rate of growth or decay? 43%

1-0.57=0.43 100x0.43=43%

c) What is the initial value? 35

d) Evaluate for x = 3

y=(35)(0.57)^(3)

=(35)(0.185193)

=6.481755

44

step-by-step explanation:

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.