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kozerog [31]
3 years ago
6

A company sells trinkets and doodads. It costs the company $30 to make 4 trinkets and 2 doodads and $40 to make 3 trinkets and 4

doodads. How much does it cost to make trinkets and doodads?
Mathematics
2 answers:
vfiekz [6]3 years ago
8 0
Tinkets:
4x = 30 \\ x = 7.5
now the next step
3x + 4y = 40
since you know x, you're able to substitute

3 \times (7.5) + 4y = 40 \\ 22.5 + 4y = 40 \\ 4y = 17.5 \\ y = 4.375
so trinket: $7.5
doodad: $4.375
snow_lady [41]3 years ago
7 0

Answer:

The cost of one trinket is $4 and the cost of one doodads is $7.

Step-by-step explanation:

Let x represents the cost of one trinket and y represents the cost of one doodads,

Since, $ 30 to make 4 trinkets and 2 doodads,

⇒ 4x + 2y = 30 ------- (1),

Also, $ 40 to make 3 trinkets and 4 doodads,

⇒ 3x + 4y = 40 ------- (2),

Equation (2) - 2 × Equation (1),

We get,

-5x = - 20

⇒ x = 4

From equation (1),

16 + 2y = 30

⇒ 2y = 14

⇒ y = 7

Hence, the cost of one trinket is $ 4 and the cost of one doodads is $ 7.

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In 1990 the average family income was about $ 39 , 000 , and in 2010 it was about $ 70 , 768 . Let x = 0 represent 1990, x = 1 r
iren2701 [21]

Answer:

<em />f(x) = 1588.4x + 39000<em />

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Step-by-step explanation:

Given

In 1990; Income= $39000

In 2010; Income= $70768

Solving (a): An equation in form of f(x) = ax + b

First, we need to determine the slope, a

a = \frac{y_2 - y_1}{x_2 - x_1}

Taking y as income and x as year index.

When x = 0; y = 39000

When x = 20; y = 70768

Substitute these values in the above formula

a = \frac{70768 - 39000}{20 - 0}

a = \frac{31768}{20}

a = 1588.4

Next, is to determine the formula using:

y - y_1 = a(x - x_1)

<em>Considering :When x = 0; y = 39000, we have</em>

<em />y - 39000 = 1588.4(x - 0)<em />

<em />y - 39000 = 1588.4x<em />

<em>Make y the subject of formula</em>

<em />y = 1588.4x + 39000<em />

<em />

<em>Express y as a function of x</em>

<em />f(x) = 1588.4x + 39000<em />

Solving (b): Income in 2005

<em>In 2005, x = 15</em>

So:

f(x) = 1588.4x + 39000 becomes

f(15) = 1588.4 * 15 + 39000

f(15) = 62826

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