Question

Doug buys a pumpkin every year. The first time he bought a pumpkin, at year 0, it cost $2.60. He notices the price is getting more expensive, at a rate of 7% per year.
Doug sketches a graph of the situation.

Which statements are true?

Select each correct answer.



The graph decreases from left to right.
The graph has an x-intercept and a y-intercept.
The graph has a y-intercept only.
The point ​ (0, 2.60) ​is on the graph.
The point (2.60, 0) is on the graph.
The graph increases from left to right.

Answer 1

The point (0,2.60) is on the graph. and the graph increases from left to right. are both true i think so one of those.

Answer 2

Answer: The true statements are -The graph has an x-intercept and a y-intercept, The point (0, 2.6) is on the graph and the graph increases from left to right.

Explanation:

Since, initially,  the value of pumpkin is  $2.60 and it is increasing every year at the rate of 7%.

So, the function which obtained with the help of formula  $A=P+ \frac{P\times r\times t}{100}$

f(x)= 2.6(1+.07x), where x (let) is the number of year and f(x) is the price of pumpkin.

So, after drawing the graph of function f(x) we found it takes the initial point (0,2.6)

And, it has both x-intercept and y-intercept.

Moreover, the graph is increasing in the positive x-axis from let to right.

Thus, second, fourth and sixth statements are correct.