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3 years ago

Yosef found this relationship between the quantities in the table.

Mathematics

2 answers:

natita [175]3 years ago

6 0

Answer:

Step-by-step explanation:

Check attachment for better understanding of the data given

Since the given data is a linear data,

Then we can use equation of a line to find the relationship between x and y

Let pick any tel point from the given data

P1 = (x1, y1) = (1, 80)

P2 = (x2, y2) = (2, 160)

Then, equation of alone given two points can be determine using

∆y/∆x = y-y1 / x-x1

y2 - y1 / x2 - x1 = y-y1 / x-x1

160 - 80 / 2 - 1 = y - 80 / x - 1

80 / 1 = y - 80 / x - 1

Cross multiply

80(x - 1) = 1(y - 80)

80x - 80 = y - 80

Add 80 to both sides

80x - 80 + 80 = y - 80 + 80

80x = y

Then,

y = 80x

Then, the mistake useful made is multiplying x by 8 instead of multiply it by 80

So, the correct option is

D. Yosef should have multiplied the x-values by 80 to get the y-values.

leva [86]3 years ago

5 0

Answer:

D-Yosef should have multiplied the x-values by 80 to get the y-values.

Step-by-step explanation:

Took test

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In order for the data in the table to represent a linear function with a rate of change of +5, what must be the value of m?

katen-ka-za [31]

The table to represent a linear function with a rate of change of +5

so, m = 13 + 5 = 18

The correct answer is option 3 ⇒ m = 18

========================================
another solution :
The table represents a linear function
the general equation of the linear function is ⇒ y = ax+b
where a is the slope and b is constant
By using the first and the third points from table to find the equation of the linear function
at x = 3 ⇒ y = 13 and at x = 5 ⇒ y = 23
∴ 13 = 3a+b → (1)

23 = 5a+b → (2)
solve (1) and (2) to find a and b
So, a = 5 and b = -2
∴ y = 5x - 2

After that by substitution with x = 4 int the equation of y
∴ y = 5*4-2 = 18

∴ m = 18

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Step-by-step explanation:

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