The following scatterplot shows the different amounts a babysitter charges, based on the number of hours that she babysits. Which equation best models the babysitter's charges, where x is the time of the babysitting (in hours) and y is the amount that the babysitter charges (in dollars)?
A. y = 6x + 10
B. y = 16x
C. y = 10x + 6
D. y = 8x
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using the first and last points
(1, 16) and (5, 40)
find the slope
then back track and find the y-intercept
from there you can get an equation
y = mx + b
where m = slope and b = y-intercept
OpenStudy (anonymous):
How do I find the slope?
jigglypuff314 (jigglypuff314):
\[slope = \frac{ rise }{ run } = \frac{ y _{2}-y _{1} }{ x _{2}-x _{1} } \]when given points (x1, y1) and (x2, y2)
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OpenStudy (anonymous):
(4,24)
@jigglypuff314
jigglypuff314 (jigglypuff314):
close :)
24 divided by 4 = slope
OpenStudy (anonymous):
6=slope?
OpenStudy (anonymous):
@jigglypuff314
jigglypuff314 (jigglypuff314):
yes :)
then back tracking
y-intercept is when x = 0
when x=1, y=16
so when x=0, y =(16-6) = ?
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OpenStudy (anonymous):
16-6=10
OpenStudy (anonymous):
A or C?
jigglypuff314 (jigglypuff314):
y = mx + b
where m = slope and b = y-intercept
OpenStudy (anonymous):
A?
jigglypuff314 (jigglypuff314):
yep :)
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