1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tester [92]
3 years ago
6

Read the following scenario, which is represented by a polynomial expression. Then answer the questions to interpret the parts o

f the expression in terms of the given context.
The volunteers at a high school football team’s concession stand are trying to decide on the price of the hot dogs they are selling. When they charge $2 for a hot dog, they sell an average of 70 hot dogs per game. With every $1 increase in the price, the number of hot dogs sold per game decreases by 8.

The volunteers can calculate the revenue earned from selling the hot dogs at each game using the expression -8x2 + 54x + 140, where x is the number of $1 increases in price.

Part A
What is the constant term in the polynomial expression, and what does it represent?
Mathematics
1 answer:
Effectus [21]3 years ago
6 0

Answer:

x is the number of $1 increase in the price.

If there is no increase, then the total money earned is

2 × 70 = 140

If there is $1 increase, then the total money earned is

(2 + 1) × [70 - 8(1)]

If there is $2 increase, then the total money earned is

(2 + 2) × [70 - 8(2)]

If we continue the pattern, for x times $1 increase, total money earned is

(2 + x)(70 - 8x) = -8x^{2} +54x+140−8x2+54x+140

If we substitute x = 0 in the above equation, we will get

the total money earned = $140.

It means if there is no increase, then the total money earned = 140.

Hence, 140 is the constant term and it represents that there is no increase in price.

You might be interested in
The cost of 10 days at Healthy Gym is $ .
liq [111]

Answer: $25

Step-by-step explanation:

4 0
3 years ago
Can yall please help me
Andru [333]

Yes because it goes up and back down

4 0
3 years ago
The equation of a line is y= -1/2x - 2. What is the equation of the line that is perpendicular to the first line and passes thro
Fed [463]
If two line are perpendicular. The multiply of their slopes are equal to -1. 
First line's slope is: -1/2x because if the line equation is form of y=ax+b a is slope. 
Let say second line's slope is m
m.-1/2=-1  so m=2 
y=ax+b is general form of linear function/equation. (a=slope)
y=2x+b 
If this line passes through the point (2,-2),if we write -2 to y and 2 to x, the equation becomes true. 
-2=4+b
b=-6 
Thus, 
y=2x-6 is true answer.

3 0
3 years ago
Is the square root of 8 a rational number
alexira [117]

Step-by-step explanation:

no it irrational I think this is right

7 0
3 years ago
Jan accidentally ran 7 minutes longer than she was supposed to. Write an expression for the total amount of time Jan ran if she
vovangra [49]

Answer:

m+7

Step-by-step explanation:

If she ran 7 minutes longer and m represents the amount of time she ran, then it would just be addition.

Let's say m=60 minutes. She would've ran for 67 minutes, which is also m+7.

6 0
3 years ago
Other questions:
  • Please help...Need help asap
    13·1 answer
  • Peter has $100. The price of a watch is $60. If peter gets 25% discounts, can he buy 2 watches
    8·2 answers
  • Please help asap !!
    13·1 answer
  • Help help help pleaseeee
    14·1 answer
  • The endpoints of PQ are (4,1) and Q(4,8)
    8·1 answer
  • A car is purchased for $25,500. After each year, the resale value decreases by 30%. What will the resale value be after 3 years?
    11·1 answer
  • Look at the image, please :)
    13·1 answer
  • Passing through (-2,1 ) and perpendicular to<br> 4x + 7y + 3 = 0.
    7·1 answer
  • the table shows the linear relationship between the percentage of construction job remaining and the number of days that have pa
    5·1 answer
  • An item is sold for £305. If this includes a mark up of 7%. Find the buying in price
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!