15 ! a music store has 500 guitar picks. they order 15 boxes with 9 picks each. they sell 19 boxes that have 10 picks each. the store manager says they now have about 450 guitar picks.

is the manager's estimate reasonable? ∵∴

B. The manager estimate is reasonable. They ordered about 150 picks and sold about 200 picks, so they should have about 50 fewer than they started with.

Step-by-step explanation:

Given:-

Previous guitar In-stock before ordering and selling(P) = 500 picks. -----(equation 1)

Now, ordered guitar is 15 boxes of 9 picks each.

Ordered guitar=15 9

Hence, Ordered guitar(O)=135 picks ------------(equation 2)

Now, selled guitar is 19 boxes of 10 picks each.

So, Selled guitar = 19 10

Hence, Selled guitar(S) =190 picks   ------------(equation 3)

Now to calculate current in-stock of guitar we can write as,

Current guitar in-stock(C) =  Previous in-stock(P) + Ordered guitar(O) - Selled guitar(S)

Current guitar in-stock(C) = 445 picks ------(equation 4)

So, difference in-stock (D) = Previous guitar in-stock(P)- Current guitar in stock(C)

Therefore Difference in Previous and current stock of guitar(D) = 55 = 50 pick approx.

Hence, the manager estimate is reasonable. They ordered about 150 picks and sold about 200 picks, so they should have about 50 fewer than they started with.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is