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The equation that matches the given table is
y = 10x + 40
Solution:
General equation of a line : y = mx + c
Let us find the equation of the table.
<u>Common differences of X: </u>
0 – 1 = 1, 1 – 2 = 1, 3 – 2 = 1, 4 – 3 = 1, 5 – 4 = 1
<u>Common differences of Y: </u>
50 – 40 = 10, 60 – 50 = 10, 70 – 60 = 10, 80 – 70 = 10, 90 – 80 = 10


m = 10
Substitute m = 10 in general equation of a line
y = 10x + c
To find the constant term, substitute x = 0 and y = 40.
40 = 10(0) + c
40 = 0 + c
40 = c
c = 40
Therefore the equation of a line is y = 10x + 40.
Hence the equation that matches the given table is y = 10x + 40.
Answer:
The correct option is;
Step function
Step-by-step explanation:
The given information are;
The cost of mailing a letter for the first ounce= $0.37
The cost for each additional ounce = $0.23
Therefore, the cost of mailing a letter can be found from the relation;
y = (N-1) × $0.23 + $0.37
The step function can be represented as follows;
f(x) = a[b(x - h)] + k
Where;
(h. k) = The starting points
a = The vertical step separation
b = The horizontal step separation
Therefore, in the question, we have;
a = $0.23
b = 1
h = 1
k = $0.37
Which gives;
f(x) = $0.23 × [1(x - 1)] + $0.37 = $0.23 × (x - 1) + $0.37
f(x) = $0.23 × (x - 1) + $0.37 which is similar to y = (N-1) × $0.23 + $0.37
Therefore the function that models the situation is step function.
Answer:
The answer is 4m
Step-by-step explanation: