John recorded the weight of his dog Spot at different ages as shown in the scatter plot below.

Part A:
Write an equation that would describe the line of best fit.

Part B:
Using the line of best fit, make a prediction of Spot's weight after 18 months.

A) y = 1.875x + 1.25

B) 35 pounds

Step-by-step explanation:

A) We need two points to define a line. To find an equation that would describe the line of best fit, we can use one of the first points and one of the last points. Let's use (2, 5) and (10, 20).

General equation of a line:

y = mx + b

Slope of the line:

m = (20 - 5)/(10 - 2) = 1.875

y-intercept is found replacing a known point and the slope into the general  equation:

5 = 1.875*2 + b

b = 5 - 1.875*2 = 1.25

The final equation is:

y = 1.875x + 1.25

where y represents weight (in pounds) and x represents age (in months)

B) At x = 18:

y = 1.875*18 + 1.25 = 35

6.9

step-by-step explanation:

simple math really

6 1/2 times 0.6 = 3.9

but if you are just doing 6 and not 6 1/2 then the answer is 3.6

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .