Can someone help me please :)

9514 1404 393

  (d)  y = 2×7^x

Step-by-step explanation:

If you try x=2 in each of the expressions, you find only one of the gives 98 as the value.

  a) 14^2 = 196

  b) 7×2^2 = 28

  c) 2^(7×2) = 2^14 = 16,384

  d) 2×7^2 = 2×49 = 98 . . . . . . . correct answer choice

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Alternatively, you can recognize that the x-values in the given (x, y) pairs differ by 1, so the ratio of y-values will be the base of the exponential term:

  98/14 = 7

so you're looking for something of the form 7^x. That would be ...

  y = 2×7^x

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In more general terms, consider

  y = ab^x

If you have x=1 and x=2, then this will be ...

  y1 = ab^1 = ab

  y2 = ab^2

Dividing the second by the first gives ...

  y2/y1 = (ab^2)/(ab) = b . . . . . . . general solution when x-values differ by 1

  98/14 = b = 7

From the x=1 case, we have ...

  14 = 7a   ⇒   a = 2

  y = 2·7^x

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step-by-step explanation:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.