Solve the system by substitution. 2x + 3y = 32 y = x + 9

Mathematics

1 answer:

HACTEHA [7]3 years ago

3 0

Answer:

x=1 and y=10 (1,10)

Step-by-step explanation:

2+30=32

10=1+9

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The linear function y=2x+28 models the average cost of a haircut in a certain city, where y, is the average price of a haircut x

Zepler [3.9K]

Answer:

The slope of the model is $m = 2\,\frac{USD}{yr}$ .

The value of the slope indicates that the average cost of a hair cut is increased by 2 US dollars each year.

Step-by-step explanation:

We have to notice that given function is a linear function, that is, a first order polynomial, whose standard form is described below:

$y =m\cdot x + b$

Where:

$m$ - Slope, dimensionless.

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$b$ - y-Intercept, dimensionless.

In this case, we use the linear function $y = 2\cdot x + 28$ , where $x$ is the time after 2000, measured in years, and $y$ is the average cost of a hair cut. The slope of the model is $m = 2\,\frac{USD}{yr}$ .