Question

X
Sarah, Gene, and Paul are proposing plans for a class fundraiser. Each presents
his or her proposal for the amount of money raised, y, for x number of
hours worked, in different ways.
Sarah's Proposal
Gene's Proposal
Paul's Proposal
y
90
Hours Money
y = 10x + 7
80
Worked Paised
6
70
5
42
60
50
X2 10
77
40
15 112
20
20
20 147
10
0
0 1 2 3 4 5 6 7 8 9
Rate
M2
ART A
initial
Ostwo
Os On
Are each of the proposals represented by linear functions? Explain.

Answer 1

We can conclude that each of the proposals can be represented by linear functions.

The class has money in the accounts now because the linear function of each proposal has an initial value (b).

What is  a Linear Function?

• Given that m is the slope/unit rate between two variables, x and y, and b is the initial value/y-intercept of the function, a linear function can be represented as y = mx + b.
• b is the starting value.
• A straight line graph is a linear function.
• A linear function always has a unit rate (b).

The graph representing Sarah's Proposal is a straight line graph, therefore Sarah's proposal can be represented by a linear function.

The table representing Gene's Proposal shows the unit rate = change in y / change in x = 7. Therefore, it can be represented by a linear function.

The equation for Paul's proposal is a linear function.

Therefore, we can conclude that each of the proposals can be represented by linear functions.

The class has money in the accounts now because the linear function of each proposal has an initial value (b).

Learn more about Linear Function on:

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