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Svetllana [295]
3 years ago
15

A function g(x) is defined as shown. G(x) = StartLayout enlarged left-brace 1st Row 1st column 2 + 3 x, 2nd column 0 less-than-o

r-equal-to x less-than 4 2nd Row 1st column 0.5 x + 10, 2nd column 4 less-than-or-equal-to x less-than 8 3rd Row 1st column 16, 2nd column x greater-than-or-equal-to 8 EndLayout What is the value of g(4)? 10 12 14 16
Mathematics
1 answer:
Gemiola [76]3 years ago
4 0

Answer:

The correct answer is 4.

Step-by-step explanation:

The function g is defined as

g(x) = \left[\begin{array}{ccc}2 + 3x & 0 \leq x < 4 \\0.5x + 10&4 \leq x < 8\\16&x\geq 8\end{array}

We need to compute the value of the function at 4. This is done by putting the value of x as 4.

∴ g(4) = 0.5 × 4 + 10 = 12 as x = 4

Thus the value of the function g at the value 4 is given by 12.

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Ray wants to buy an item worth 500$ in the most cost-effective way. Let's study each of the 3 cases and see with option is the best.

In the first option, he'll buy the item at list price with a coupon for $10 off. So he'll buy it at 500-10 =$490.

In the second option, he'll buy a membership for $35 and then get the item at a 15% discount. With a 15% discount, the price of the item will be 500 - (500*0.15) = 500 - 75 = $425. And with the membership price, he'll pay a total of 425 + 35 = $460.

The third option is to buy the item online at a 10% discount and pay $4 for the shipping. At 10% discount, the price of the item will be 500 - (500*0.1) = 500 - 50 = $450. And with cost of the shipping, he'll pay a total of 450+4 = $454.


So if he chooses the first option, he'll pay $490. With the second, he'll pay $460. And finally with the third, he'll pay $454.

So the third option is the most cost-effective, buying the item at $454.

Hope this helps! :)

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