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GREYUIT [131]
4 years ago
12

A corporate team-building event costs $32, plus an additional $1 per attendee. If there are 66 attendees, how much will the corp

orate team-building event cost?
Mathematics
1 answer:
faust18 [17]4 years ago
3 0

Answer:

corporate team-building event cost will cost $98

Step-by-step explanation:

A corporate team-building event costs $32, plus an additional $1 per attendee.

Let cost be C

The expression for the above statement

C($)= 32+n(1)

Where n is the number of attendees

So a situation where there are 66 attendees, the total cost will be

C($) = 32 +66(1)

C($) = 32+66

C($)= 98

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3 years ago
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Find the equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1, 3).
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The equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1, 3) in slope intercept form is y = \frac{-1}{5}x + \frac{16}{5}

<h3><u>Solution:</u></h3>

Given that a line is parallel to line x + 5y = 10 and passes through the point (1, 3)

We have to find the equation of line

<em><u>The slope intercept form is given as:</u></em>

y = mx + c  -------- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

<em><u>Let us first find the slope of line</u></em>

Given equation of line is x + 5y = 10

5y = -x + 10\\\\y = \frac{-1}{5}x + \frac{10}{5}\\\\y = \frac{-1}{5}x + 2

On comparing the above equation of line with slope intercept form,

m = \frac{-1}{5}

We know that slopes of parallel lines are equal

So the slope of line parallel to given line is also m = \frac{-1}{5}

<em><u>Let us find the equation of line with slope m = -1/5 and passes through the point (1, 3)</u></em>

\text {substitute } m=\frac{-1}{5} \text { and }(x, y)=(1,3) \text { in eqn } 1

3 = \frac{-1}{5} \times 1 + c\\\\15 = -1 + 5c\\\\16 = 5c\\\\c = \frac{16}{5}

<em><u>Thus the required equation is:</u></em>

\text {substitute } m=\frac{-1}{5} \text { and } c=\frac{16}{5} \text { in eqn } 1

y = \frac{-1}{5}x + \frac{16}{5}

Thus the required equation of line is found

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