Question

PLEASE HELP WILL GIVE MEDAL
The price of products may increase due to inflation and decrease due to depreciation. Derek is studying the change in the price of two products, A and B, over time.

The price f(x), in dollars, of product A after x years is represented by the function below:

f(x) = 0.69(1.03)x

Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)

Part B: The table below shows the price f(t), in dollars, of product B after t years:

Answer 1

t(number of years): 1, 2, 3 , 4
f(t) (price in dollars) 10,100 , 10,201, 10,303.01, 10.406.04

Which product recorded a greater percentage in price over the pervious years? Justify your answer.

Answer 2

f(x) = 0.69×(1.03)x
Is this the function?

Answer 3

Yes @FaiqRaees

Answer 4

Okay so what's the gradient/slope of the function

Answer 5

I'm not sure, I've always had trouble finding slopes. Math isn't my best subject @FaiqRaees

Answer 6

The coefficient with x is the slope of the function. Whats is the coefficient?

Answer 7

0.69x? @FaiqRaees

Answer 8

No it is 0.69×1.03. Since both numbers are being multiplied with x. So is the number positive or negative?

Answer 9

Positive @FaiqRaees

Answer 10

Since it is positive the gradient is also positive which means the price of product A will increase with increasing values of x.

Answer 11

Thank you! How would i figure out part B if you don't mind me asking @FaiqRaees

Answer 12

Btw part A is not complete. The percentage portion is left. Can you figure it out yourself?

Answer 13

No, not really. How could I do that? Division? @faiqRaees

Answer 14

put x =2 and x=1 and find out the values