4. A store offers packing and mailing services to customers. If a customer ships a box
weighing 4 pounds, it would cost $15. If a
customer ships a box weighing 8 pounds, it
would cost $23. Identify the following
characteristics:

Answer/Step-by-step explanation:

In the situation explained in the question, the cost of shipping is dependent on the weight of the box to be shipped.

For a box of 4 pounds, total shopping cost (x) => $15 (y)

For a box of 8 pounds (x), total shopping cost => $23 (y)

Therefore:

a. The input is weight of box

b. The output is cost of shipping

c. Using the 2 given pair (4, 15) and (8, 23), slope is calculate using the formula below:

Slope = 2

d. The slope represents the amount charged per pound of weight. That is, $2 per pound.

e. Let's derive an equation to represent the situation using the slope-intercept formula given as y = mx + b

y = total cost of shipping

x = weight of box

m = average cost per pound = slope

b = y-intercept = flat fee charged for shipping before adding the cost of weight per pound

Substitute x = 4, y = 15, m = 2 into y = mx + b, and solve for b

15 = 2(4) + b

15 = 8 + b

15 - 8 = b

7 = b

b = 7

The equation would be y = 2x + 7

The y-intercept = 7

f. The y-intercept, 7, is the starting amount, that is the flat fee charged before the cost per pound of weight of a box is added to give total cost of shipping.

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Step-by-step explanation:

step-by-step explanation:

6.48/4 4 goes into 6.48 1.62 times

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step-by-step explanation: