Answer:
y = 3x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3, thus
y = 3x + c ← is the partial equation
To find c substitute (3, - 3) into the partial equation
- 3 = 9 + c ⇒ c = - 3 - 9 = - 12
y = 3x - 12 ← equation of line
Answer: the tuition in 2020 is $502300
Step-by-step explanation:
The annual tuition at a specific college was $20,500 in 2000, and $45,4120 in 2018. Let us assume that the rate of increase is linear. Therefore, the fees in increasing in an arithmetic progression.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = $20500
The fee in 2018 is the 19th term of the sequence. Therefore,
T19 = $45,4120
n = 19
Therefore,
454120 = 20500 + (19 - 1) d
454120 - 20500 = 19d
18d = 433620
d = 24090
Therefore, an
equation that can be used to find the tuition y for x years after 2000 is
y = 20500 + 24090(x - 1)
Therefore, at 2020,
n = 21
y = 20500 + 24090(21 - 1)
y = 20500 + 481800
y = $502300
Using the function graph given, it is found that:
When a piece-wise function is given, that is, a function that has <em>multiple definitions</em>, the numeric value at x when the definition changes is given by the closed circle.
- For function L(x), when x = 2, the closed circle is at y = 7, hence, L(2) = 7.
- For function R(x), when x = 2, the closed circle is at y = 1, hence, R(2) = 1.
To learn more about the use of graphs to analyze a function, you can take a look at brainly.com/question/21447009
Answer:
b
Step-by-step explanation:
Answer: 80 ft²
Step-by-step explanation:
The area of a trapezoid is one half the product of the height and the sum of the lengths of the bases.
(6 + 10) * 0.5 * 10 = 80 (ft²)
