Answer:

Step-by-step explanation:
We want to find

This can be rewritten as;


Recall that; 

We evaluate now to obtain;

Answer:
the modem is $8 per month
Step-by-step explanation:
M = - 7 - 3 / - 2 - 4
m = - 10 / - 6
m = 10/6
m = 5/3
y = 5/3x + c , (4,3)
3 = 5/3(4) + c
12 = 20 + 4c
4c = - 8
c = - 2
y = 5/3x - 2
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Answer:
The same ratio indicates that there is a proportional relationship between y and x.
Step-by-step explanation:
We know when y varies directly with x, the equation is
y ∝ x


Here,
k is the constant of proportionality.
The ratio y/x indicates that k is a constant of proportionality.
Thus, the same ratio indicates that there is a proportional relationship between y and x.
When x increases, y increases, and when y decreases, x also decreases.
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a = a + d(n-1)
n 1
this is the formula for the arithmetic sequence.
the first sequence is arithmetic
an=1+7(n-1)
the second sequence is also arithmetic
an=12+4(n-1)