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rusak2 [61]
3 years ago
12

Y=3[x]+1 Step by step

Mathematics
1 answer:
finlep [7]3 years ago
7 0

y=3x+1

Use the slope-intercept form to find the slope and y-intercept

The slope-intercept form is y=mx+b

, where m is the slope and b

is the y-intercept.

y=mx+b

Find the values of m

and b using the form y=mx+b

.

m=3

b=1

The slope of the line is the value of m

, and the y-intercept is the value of b

.

Slope: 3

Y-Intercept: 1

Any line can be graphed using two points. Select two x

values, and plug them into the equation to find the corresponding y

values.


Choose 0

to substitute in for x

to find the ordered pair.


Replace the variable x

with 0

in the expression.

f(0)=3(0)+1

Simplify the result.

Tap for more steps...

1

The first point is (0,1)

.

(0,1)

Choose 1

to substitute in for x

to find the ordered pair.

Tap for fewer steps...

Replace the variable x

with 1

in the expression.

f(1)=3(1)+1

Simplify the result.


Multiply 3

by 1

.

f(1)=3+1

Add 3

and 1

.

f(1)=4

The final answer is 4

.

4

The second point is (1,4)

.

(1,4)

Create a table of the x

and y

values.

xy0114

Graph the line using the slope and the y-intercept, or the points.

Slope: 3

Y-Intercept: 1

xy0114

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The local supermarket buys lettuce each day to ensure really fresh produce. Each morning any lettuce that is left from the previ
jekas [21]

Given Information:

Cost price = $4

Selling price = $10

Salvage value = $1.50

Average demand = μ = 250 boxes

Standard deviation = σ = 34 boxes

Required Information:

Number of lettuce boxes = ?

Answer:

The supermarket should purchase 268 boxes  of lettuce

Step-by-step explanation:

The required number of lettuce boxes that supermarket should purchase is given by

Number of lettuce boxes = μ + (z*σ)

Where μ is the average demand of lettuce boxes, σ is the standard deviation, and z is the z-score which is given by

p = C_us/(C_us + C_os)

The z-score corresponding to probability p will be obtained.

The cost of under stocking is given by

C_us = Selling price - Cost price

C_us = $10 - $4

C_us = $6

The cost of over stocking is given by

C_os = Cost price - Salvage value

C_os = $4 - $1.50

C_os = $2.50

p = C_us/(C_us + C_os)

p = 6/(6 + 2.50)

p = 0.7058

p  = 70.58%

The z-score corresponding to 70.58% probability is approximately 0.54

Number of lettuce boxes = μ + (z*σ)

Number of lettuce boxes = 250 + (0.54*34)

Number of lettuce boxes = 250 + (18.36)

Number of lettuce boxes = 268.36

Number of lettuce boxes ≈ 268

Therefore, the supermarket should purchase 268 boxes of lettuce.

How to use z-table?

Step 1:

In the z-table, find the probability you are looking for and note down the two-digit number of the given row. (e.g 0.5, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table and note down the value in the column for the remaining decimal point in the range of 0.00 to 0.09.

Step 3:

Finally, add the numbers obtained from step 1 and step 2.

8 0
3 years ago
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