The amount of money Sally earns, P, varies directly with the number, n, of necklaces she sells. When Sally sells 15 necklaces, she earns $150. Write the equation that relates P and n. How much money would she earn if she sold 4 necklaces?

Equation:

when n = 4

Step-by-step explanation:

Given

Direct Variation: P ∝ n

When n = 15, P = 150

Required

Determine the equation

Her earnings if she sold 4 necklaces

P ∝ n

Convert variation to equation

When P = 150, n = 15 (Substitute these values in the given equation)

Divide both sides by 15

Substitute k = 10 in

------- Equation that relates P and n

When she sold 4 necklaces, n = 4

Substitute n = 4 in the formula above

answer: 33 ( approx)

step-by-step explanation:

since, in the linear regression formula, the slope is the a in the equation y = b + ax ( by comparing it with the general equation of line y = mx + c )

where,

here given table is,

price ($), x   :           18         23       25       29       30       33

pairs sold, y :         16         13         10       8         6       2

so, ,   ,   ,

and   ,

thus, slop of the given line is,

⇒  

⇒   ≈ 33