The number of machine parts produced at a manufacturing plant is based on the number of parts made in a given day and the number of hours worked. Let P = 14x + 100 give the number of parts that are produced since the start of the
shift and H = x be the number of hours that are to be worked that particular day. Create the equation that would give
the number of parts produced per hour.

The equation that would give the number of parts produced per hour, is given as follows;

= P/H - 100/H

Step-by-step explanation:

The given parameters are;

The number of parts produced is given by the equation, P = 14·x + 100, where x represents the number of hours worked on a particular day

The number of hours worked = H

Therefore, we have;

P = 14·H + 100

At H = 0, P₀ = 100

At H = 1, P = 114

At H = 2, P = 128

Therefore, the rate of change of the number of parts produced with the number of hours spent = The number of parts produced per hour, ΔP/ΔH = , is given as follows;

ΔP/ΔH = = (P - P₀)/(H - 0) = P/H - P₀/H = (128 - 100)/(2 - 0) = 14

∴ The number of parts produced per hour, = P/H - 100/H.

y=−9/2x+10

step-by-step explanation:

let's solve for y.

0−9x−2y=−20

step 1: add 9x to both sides.

−9x−2y+9x=−20+9x

−2y=9x−20

step 2: divide both sides by -2.

−2y

−2

=

9x−20

−2

y=

−9

2

x+10

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: