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

Work shown below!

Step-by-step 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

9514 1404 393

  a) graph 2, table 3

  b) graph 3, table 2

  c) graph 1, table 1

Step-by-step 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.

Additional comment

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

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.