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user100 [1]
2 years ago
5

To describe a specific arith-

Mathematics
1 answer:
Bezzdna [24]2 years ago
4 0

Answer:

f(x) = 7x + 30

Step-by-step explanation:

We need at least two points to write the equation of a straight line.

The recursive formula that Elijah wrote is:

f(0) = 30

f(n + 1) = f(n) + 7

When we substitute n=0, we get:

f(0 + 1) = f(0) + 7

f(1) = 30 + 7

f(1) = 37

The points (0,30) and (1,37) lies on this line.

The equation of this line is of the form:

f(x) = mx + b

where b =30 is the y-intercept and m=7 is the slope.

We plug in these values to get:

f(x) = 7x + 30

Note that the slope of the line is equal to the common difference of the Arithmetic Sequence.

You could also use the two points to find the slope:

m =  \frac{37 - 30}{1 - 0}  = 7

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2 years ago
What's the answer to: divide £48 in the ratio 7:5 (please show your working, much appreciated)
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I can see you come from outside the USA. No insults intended!!
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Anyways, we have to put one side of the ratio and match it to 48. 
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Or even better...
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MAKE!!
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So... Let's say 7 is proportional to 48... so 7/5 = 48/x, where x is the number equivalent to ratio of 5.
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Cross multiply!!
<span>.
</span>7x = 240.
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Divide 7 on both sides.
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x = 34 2/7.
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Hope I helped!!
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