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Phantasy [73]
3 years ago
14

(BEGINNER LEVEL, Picture provided) Use the line of best fit to predict the total amount of money earned in tips after working 12

hours

Mathematics
2 answers:
Anni [7]3 years ago
6 0
It is 110

Slope of the line is 10x So you will earn 110$ in 12 hours.
lesya692 [45]3 years ago
4 0

Answer:

Option C is correct

$120

Step-by-step explanation:

The equation of best line is given by:

y=mx+b          ....[1]

where, y represents the total amount of money earned in tip after x hours,  m is the slope and b is the y-intercept.

As per the statement:

From the graph:

Two points are:

(2, 20) and (8, 80)

Formula for slope(m) is given by:

m = \frac{y_2-y_1}{x_2-x_1}

then;

m = \frac{80-20}{8-2}=\frac{60}{6}=10

⇒m = 10

Substitute in [1] we have;

y = 10x+b

Also , substitute the point (2, 20) to find b;

20= 10(2)+b

⇒20=20+b

Subtract 20 from both sides we have;

⇒0 = b

or

b = 0

Then, we get the equation:

y=10x

We have to find total amount of money earned in tips after working 12 hours.

⇒x = 12 hours

then;

y=10(12) =120

Therefore, the total amount of money earned in tips after working 12 hours is, $120

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