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aliya0001 [1]
3 years ago
13

Lorenzo buys 3 shirts at S dollars a piece and 2 pairs of pants at P dollars a pair. What does the expression 3s + 2p represent?

Mathematics
2 answers:
son4ous [18]3 years ago
7 0
3s+2p represents 3xS+2xP  S represents the dollar amount per shirt and P represents the dollar amount of each pair of pants
ryzh [129]3 years ago
3 0

Answer:

The expression 3s + 2p represent total price of 3 shirts and 2 pairs of pants.

Step-by-step explanation:

It is given that

Price of a shirt = S dollar

Price of a pair of pants = P

Total number of shirts = 3

Total number of pairs of pants = 2

Total price = Quantity × Price of each unit

Total price of 3 shirts = 3S

Total price of 2 pairs of pants = 2P

Total price of 3 shirts and 2 pairs of pants = 3S + 2P

Therefore the expression 3s + 2p represent total price of 3 shirts and 2 pairs of pants.

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Determine the slope of the following graph.
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2/1 or 2

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4 0
3 years ago
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 />

f(15) = 62826

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

3 0
3 years ago
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