Question

The function f(x) = 3x + 6,000 represents the amount of money a tablet is being sold for, where x is the number of tablets being manufactured.

The function g(x) = 20x − 400 represents the cost of production, where x is the number of tablets being manufactured.

What is (f − g)(300)? Explain.

$1,300 is the cost of manufacturing 300 tablets.
$12,500 is the cost of manufacturing 300 tablets.
$1,300 is the profit made from 300 tablets.
$12,500 is the profit made from 300 tablets.

Answer 1

(f - g)(300) = $1,300 is the profit made from 300 tablets ⇒ 3rd answer

Step-by-step explanation:

The function f(x) = 3 x + 6,000 represents the amount of money a tablet

is being sold for, where x is the number of tablets being manufactured

The function g(x) = 20 x − 400 represents the cost of production, where

x is the number of tablets being manufactured

• f(x) represents the selling price for x tablets
• g(x) represents the cost price for x tablets

We need to know what is (f - g)(300)

∵ f(s) is the selling price function for x tablets

∵ g(x) is the cost price function for x tablets

∵ Profit = selling price - cost price

∴ Profit = f(x) - g(x) = (f - g)(x)

∴ (f - g)(x) is the profit made from x tablets

∴ (f - g)(300) is the profit made from 300 tablets

∵ (f - g)(x) = (3 x + 6,000) - (20 x - 400)

- Simplify it

∴ (f - g)(x) = 3 x + 6,000 - 20 x + 400

- Add like terms

∴ (f - g)(x) = -17 x + 6,400

Substitute x by 300

∴ (f - g)(300) = -17(300) + 6,400

∴ (f - g)(300) = -5,100 + 6,400

∴ (f - g)(300) = $1,300

∴ The profit is $1,300

(f - g)(300) = $1,300 is the profit made from 300 tablets

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Answer 2

Answer:

Its "C'' $1,300 is the profit made from 300 tablets

Step-by-step explanation: