Question

How do I do this? Please don't give me the answer. :0
@geerky42 @Kainui @iambatman @SolomonZelman

Answer 1

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

Answer 2

I would find the equation of a line between the first and last points.
the points appear to lie on a line (close enough)

Answer 3

so find the slope between (16,1) and (40,5)

then use
y - y0 = m(x - x0)

where (x0,y0) is any point on the line. example (16,1)

Answer 4

There are fancier ways to find a "line of best fit" that minimize the total squared error, but we probably don't need to use those techniques here.

Answer 5

remember, slope is change in y divided by change in x

Answer 6

How do I find the slope between (16,1) and (40,5)

Answer 7

oops, I swapped x and y

we want to use (1,16) and (5,40)

Answer 8

find the change in y. that means take the y value from the second point
(the 40)
minus the y value from the first point
(the 16)

change in y is 40 - 16

Answer 9

24

Answer 10

now do the same for the x values to find the change in x

Answer 11

4

Answer 12

are you stuck on finding the change in x= 5-1 ?

now find the slope
m = change in y divided by change in x

Answer 13

24/4=6

Answer 14

now we use
y - y0 = m(x - x0)

m is 6
for (x0,y0) we can use (1,16)
that means replace x0 with 1 and y0 with 16 in the formula

what do you get ?

Answer 15

X=1 Y=16

A. y = 6x + 10 -----> 16
B. y = 16x ---------> 16
C. y = 10x + 6 -----> 16
D. y = 8x ----------> 8

What number are we looking for? o_o

Answer 16

start with
y - y0 = m(x - x0)

replace x0 with 1
replace y0 with 16
replace m with 6

y - 16 = 6(x - 1)

now we simplify that so it looks like one of the choices

Answer 17

I would distribute the 6 and change 6(x -1 ) to 6x - 6

Answer 18

then add +16 to both sides

Answer 19

So how would that equation look?

Answer 20

A or C?

Answer 21

@phi

Answer 22

@marissalovescats @mathmale