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Makovka662 [10]
3 years ago
9

IN (3)

Mathematics
1 answer:
svetoff [14.1K]3 years ago
8 0

Answer:

(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product

(b) y  =2x +5

Step-by-step explanation:

Given

The attached table

Solving (a): The rule of the table in words

First, we calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

Using:

(x_1,y_1) =  (2,9)

(x_1,y_1) =  (10,25)

So, we have:

m = \frac{25 - 9}{10 - 2}

m = \frac{16}{8}

m=2

The equation is calculated using:

y - y_1 =m(x - x_1)

Using:

(x_1,y_1) = (6,17)

We have:

y - 17 =2(x - 6)

y - 17 =2x - 12

Make y the subject

y  =2x - 12+17

y  =2x +5

Hence, the rule is:

Multiply the input (x) by 2 and add 5 to the result of the product

(b): The rule, in algebra

As solved in (a), the rule is:

y  =2x +5

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