The true statemens are:
All function have (at least) a dependent variable. That is why you can write y = f(x), x is the independent variable, while y depends on x values, so y is the independent variable.
All function have and independent variable (explained above).
A horizontal line is an example of a funcitional relationship (because given a value of x, you can always tell the value of y)
The other statements are false:
<span>The
range of a function includes its domain is false.
Domain are the values that x can take and the range are the values that the function (y) can take. One is not included in the other.
A vertical line is an example of a
functional relationship is false, because you can not tell the value of y for any value of x.
</span>
<span>Each output value of a function can correspond
to only one input value is false. An output can be generated by more than one value of x. The horizontal line is an example of that: the same value of y (output) corresponde to any value of x.</span>
Given:
Total number of girls in her class = 16
Total number of boys in her class = 14
To find:
The number of different ways of choosing one girl and one boy.
Solution:
We have,
Total number of girls = 16
Total number of boys = 14
So,
Total number of ways to select one girl from 16 girls = 16
Total number of ways to select one boy from 14 boys = 14
Now, number of different ways of choosing one girl and one boy is

Therefore, the required number of different ways is 224.
Answer:
Step-by-step explanation:
Given that:
- x represents the number of months of ownership; and
- y represents the total paid for the car after ‘x' months.
<u>First Option (Leasing)</u>
250x - y + 4000 = 0
Expressing the equation in the Slope-Intercept Form y=mx+b, we have:
y=250x+4000
<u>Second Option (Financing)</u>
$400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400).
First, we determine the slope of the line joining (0,400) and (10,4400)

We have:
y=400x+b
When y=400, x=0
400=400(0)+b
b=400
Therefore, the Slope-Intercept Form of the second option is:
y=400x+400
<u>Significance</u>
- In the first option, there is a down payment of $4000 and a monthly payment of $250.
- In the second option, there is a down payment of $400 and a monthly payment of $400.
<u>Part B</u>
We notice from the graph that after 24 months, the cost for leasing and financing becomes the same ($10,000). Therefore, a consumer will be better off financing since the downpayment for leasing is higher.
<u>i.e </u>
- When x=0, y=$4000 for leasing
- When x=0, y=$400 for financing
7 x 10^1 = 70
7 x 10^2 = 700
7 x 10^3 = 7000