I need help with figuring out linear functions
1 answer:
Answer:
see explanation
Step-by-step explanation:
Part 1
Obtain the equation in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 80) and (x₂, y₂ ) = (2, 110) ← 2 points from the table
m = = 30
Given the point (0, 50 ) ⇒ c = 50
D(g) = 30g + 50 ← linear equation
A
D(6.5) = (30 × 6.5) + 50 = 195 + 50 = 245
B
D(4.25) = (30 × 4.25) + 50 = 127.5 + 50 = 177.5
C
D(50) = (30 × 50) + 50 = 1500 + 50 = 1550
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Answer:
11,232,000 license plates are possible.
Step-by-step explanation:
The order in which the symbols are chosen is important(ABC is a different plate than BAC), which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
In this question:
3 letters from a set of 26.
3 digits from a set of 10. So
11,232,000 license plates are possible.