Question

Please help with these questions. 20 points if you can solve them with good explanations.​

Answer 1

Work shown below!

Explanation:

h(x) = -50x + 450

This is a linear function because it is the form y = mx + b

Graph 2 and scenario A and Table 3

g(x) = 4^x

It is a growth in the graph because the slope is positive

Graph 1 and scenario C and Table 1

f(x) = -16x^2 + 1900

It is a decay in the graph because the slope is negative

Graph 3 and scenario B and Table 2

Answer 2

9514 1404 393

Answer:

a) graph 2, table 3

b) graph 3, table 2

c) graph 1, table 1

Explanation:

a) "At a constant rate" means any graph and table will be a linear function. Only graph 2 is a straight line (linear). Only table 3 matches graph 2.

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b) As the wrench drops, its height will be decreasing. Only graph 3 is a decreasing function (of the two remaining). Only table 2 matches graph 3.

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c) Table 1 and graph 1 are the only remaining choices. Happily, they match each other and the scenario.

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Additional comment

You can match the tables to the graphs simply by looking at the y-value for x=0.