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BaLLatris [955]

3 years ago

12

the cost in dollars of a school banquet is 64 + 12n,where n is the number of people attending. what is the cost for 80 people.

2 answers:

nataly862011 [7]3 years ago

8 0

The total cost for 80 people attending the banquet is $1,024.00

If n represents the number of people, and 80 people are attending, plug in 80 for n:
$64+12n \\ 64+12(80) \\ 64+960=1,024 dollars$

koban [17]3 years ago

4 0

If n = the number of people attending, jut plug in 80 for n:

$64+12n\\64+12(80)\\64+960\\1024$

The cost for 80 people is $1024.

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Consider the two expressions 4b(b+1) and (2b+7)(2b-8). Compare their values if b=-3, b=-2, and if b=10. Is it true that for an v

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Answer:

FIRST EXPRESSION:

- If $b=-3$ , the value of $4b(b+1)$ is $24$

- If $b=-2$ , the value of $4b(b+1)$ is $8$

- If $b=10$ , the value of $4b(b+1)$ is $440$

SECOND EXPRESSION:

- If $b=-3$ , the value of $(2b+7)(2b-8))$ is $-14$

- If $b=-2$ , the value of $(2b+7)(2b-8))$ is $-36$

- If $b=10$ , the value of $(2b+7)(2b-8))$ is $324$

Yes, for any value of "b" the value of the first expression is greater than the value of the second expression.

Step-by-step explanation:

Substitute the given values of "b" into each expression and evaluate.

- For the first expression $4b(b+1)$ , you get:

If $b=-3$ → $4(-3)(-3+1)=24$

If $b=-2$ → $4(-2)(-2+1)=8$

If $b=10$ → $4(10)(10+1)=440$

- For the second expression $(2b+7)(2b-8))$ , you get:

If $b=-3$ → $(2(-3)+7)(2(-3)-8)=-14$

If $b=-2$ → $(2(-2)+7)(2(-2)-8)=-36$

If $b=10$ → $(2(10)+7)(2(10)-8)=324$

You can observe that for any value of "b" the value of the first expression is greater than the value of the second expression.

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A new truck costs $32,000 if the truck is worth 24,500 after three years write an explicit formula for the value of the car afte

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depreciation % = (2500/32000)*100 = 7.81%

Value of truck after n years = 32000 * (7.81%)*n

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