What is the average rate of change of h(x)=2^{x+1}h(x)=2 x+1 h, (, x, ), equals, 2, start superscript, x, plus, 1, end superscript over the interval [2,4][2,4]open bracket, 2, comma, 4, close bracket?

Average Rate = 12

Explanation:

Given

h(x) = 2^(x + 1)

Interval = [2,4]

Required

Determine the average rate of change

The average rate of change of h(x) is calculated using.

Average Rate = (h(b) - h(a))/(b - a)

Where

[a,b] = [2,4]

Meaning a = 2 and b = 4

So, the formula becomes:

Average Rate = (h(4) - h(2))/(4 - 2)

Average Rate = (h(4) - h(2))/2

Average Rate = ½(h(4) - h(2))

Calculating h(4)

h(4) = 2^(4+1)

h(4) = 2⁵

h(4) = 32

Calculating h(2)

h(2) = 2^(2+1)

h(2) = 2³

h(2) = 8

So, we have:

Average Rate = ½(h(4) - h(2))

Average Rate = ½(32 - 8)

Average Rate = ½ * 24

Average Rate = 12

Hence, the average rate of change is 12

its b

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source apex

the benefits of raising bc’s minimum wage to $15 through a

series of pre-announced staged increases far outweigh the likely

costs. claims that such an increase will lead to massive job losses

in low-wage sectors of the economy are not credible.

• an increase to $15 would result in some job losses. however,

the likely impact is less than a 1 per cent reduction in the overall

provincial employment rate, and a 7.6 per cent reduction in the

employment rate for those currently making between $10.25

and $15 per hour.

• the large job loss impacts predicted by some opponents of

minimum wages misrepresent the existing economic research. in

reading and using that research, it is important to recognize that

estimates showing job loss effects of minimum wage increases

apply only to teenagers. estimated effects for young adult and

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about who earns very low wages in bc and leads to exaggerated

claims about job losses. only 26 per cent of those currently making

between $10.25 and $12 are teenagers, and only 5 per cent

of those making between $12 and $15 are teenagers.