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Yuri buys a ton of straw every year. The first time he bought straw, in Year 0, it cost $150.00. He
notices the price is getting less expensive, at a rate of 1.5% per year.
Yuri sketches a graph of the situation.
Which statement is true?

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Yuri buys a ton of straw every year The first time he bought straw in Year 0 it cost 15000 He notices the price is getting less expensive at a rate of 15 per ye class=

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Answer: the graph decreases from left to right

Step-by-step explanation:

because the price over time is getting cheaper the graph will decrease from 0 onward

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Answer:

The graph decreases from left to right.

Step-by-step explanation:

Given,

The original cost of the straw, P = $ 150.00,

The rate of decreasing per year, r = 1.5% = 0.015

Thus, the price after x years,

[tex]C(x)=P(1-r)^x[/tex]

[tex]\implies C(x) = 150(1-0.015)^x=150(0.985)^x[/tex]

Which is an exponential function,

∵ An exponential function [tex]f(x) = ab^x[/tex] has,

Decay : if 0 < b < 1,  ( decreasing from left to right )

Growth : if b > 1,  ( increasing from left to right )

Since, 0.985 < 1

Thus, the graph is decreasing from left to right,

if x = 2,

C(2) = [tex]150(0.985)^2[/tex] = 145.53375 ≠ 147.75,

I.e. (2, 147.75) does not lie on the graph,

If x = 3,

C(3) = [tex]150(0.985)^3[/tex] = 143.35 ≠ 141.20

i.e. (3, 141.20) does not lie on the graph.