Charlie's Computer Company charges $0.65 per pound to ship computers. Part A: Write an equation to determine the total cost, c, to ship p pounds of computers. Use your equation to determine the cost of shipping 2 pounds of computers. (6 points) Part B: If the company reduces the cost to ship computers by $0.05 per pound, write an equation to determine the total cost, c, to ship p pounds of computers with the reduced cost. (4 points)

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Answer:

Part A:

Equation: 0.65p=c

Answer: $1.30

Part B:

Equation: 0.05p=c

Answer: $0.10, or ten cents (if two pounds of computers where shipped at this reduced price)

Step-by-step explanation:

To find the total cost, first find the elements you will need. We know that we need to equal c, the cost, and we know that the pounds times 65 cents equals the cost.

0.65p=c

Now, to solve, plug in the amount of pounds.

0.65(2)=c

1.3=c

So the cost of shipping two pounds of computers is $1.30.

Now, to solve part b, we do the same as what we did in part a, except this time it only costs five cents per pound.

Make the equation.

0.05p=c

Also, at the top I put the extra, if two pounds were shipped at the reduced price just in case. But for the explantion to it, just plug to into the equation, then find the answer.

Part A: The equation for the total cost, c, to deliver p pounds is:

c = 0.65p.

The cost for shipping 2 pounds is $1.30.

Part B: The equation, after the reduction of $0.05 in the shipping of per pound is:

c = 0.6p.

What are equations?

Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.

How to solve the question?

In the question, we are informed that Charlie's Computer Company charges $0.65 per pound to ship computers.

Part A:-

We are asked to write an equation to determine the total cost, c, to ship p pounds of computers.

We know that the total cost equation is designed as:

Total cost = fixed cost + (per unit cost)*(number of units).

Thus, the required equation is:

c = 0 + 0.65p, {Since c is the total cost, the fixed cost is 0, the quantity of computers shipped is p pounds, and per pound cost of shipping is $0.65}

or, c = 0.65p.

The cost for shipping 2 pounds, can be calculated by substituting p = 2 in the above equation.

Thus, c = 0.65*2 = 1.30.

Thus, the cost of shipping 2 pounds is $1.30.

Part B:-

We are asked to write an equation for the total cost, c, to ship p pounds of computers, when the company reduces the cost to ship computers by $0.05 per pound.

Now, the unit cost of shipping one pound of computers is $0.65 - $0.05 = $0.60.

We know that the total cost equation is designed as:

Total cost = fixed cost + (per unit cost)*(number of units).

Thus, the required equation is:

c = 0 + 0.60p, {Since c is the total cost, the fixed cost is 0, the quantity of computers shipped is p pounds, and per pound cost of shipping is $0.60}

or, c = 0.60p.

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