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Marysya12 [62]
3 years ago
13

PLEASE HELP! Neil has been running a tutoring business since 2005. He charges a monthly fee for weekly tutoring sessions and a p

hone help line. Each year, he has increased his fee by the same amount. The table shows what Neil charged each customer for two given years of his business: Year Annual Tutoring Fee 2005 $1200 2008 $1350 A. What is the rate of change and initial value for Neil's business? How do you know? B. Write an equation in slope-intercept form to represent the fees that Neil charges each year.
Mathematics
1 answer:
Alina [70]3 years ago
3 0

Answer:

Step-by-step explanation:

A. Rate of change (or slope) is $50

The initial tutoring fee starts out at $1200 in 2005

How do you know? Each year the cost goes up $50

 2005 = $1200

    2006 = $1250

    2007 = $1300

    2008 = $1350

B.  y=50x+b

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and "x" is how many seconds you've been in the elevator.

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b)

\bf \begin{array}{lcccllll}
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&({{ 6}}\quad ,&{{ 350}})
\end{array}
\\\\\\
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\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-350=-20(x-6)
\\\\\\
y-350=-20x+120\implies  y=-20x+\stackrel{y-intercept}{470}
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