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
d1i1m1o1n [39]
3 years ago
6

The scatter plot shows the number of customers in a restaurant for hours of the dinner services on two different Saturday nights

. The line shown models this relationship, and x=0 represent 7:00pm
A. What does the value y-intercept represent in the context of the problem (shown inherent attachment)


B. What is the slope of the line?


C. Write an equation to represent the line of nest fit drawn


D. Wat is the number of customers the restaurant should expect at 8:30pm?

Mathematics
1 answer:
charle [14.2K]3 years ago
5 0

A. The value y-intercept represent in the context of the problem is 50.

B. The slope of the line is -10.

C. The equation to represent the line is y= -10x+50.

D. The number of customers in the restaurant at 8:30pm is 35.

<u>Step-by-step explanation:</u>

The equation of the line is given by y=mx+c.

y is the number of customers and x is the hours.

7.00 p.m. is considered as 0.

To find the slope m =\frac{rise}{run}.

rise = y_{2}-y_{1}.

run = x_{2}-x_{1}.

From the graph, choose two points. Let us take (0,50) and (4,10).

m=\frac{-40}{4}.

m=-10.

∴The equation can be written as y= -10x+c.

To find the y-intercept value c, substitute any point.

Let us substitute(0,50) for instance,

50=0+c.

c=50.

The equation for the given graph is y= -10x+50.

To find the customers at the restaurant at 8.30 pm.

we know that x=0 at 7.00 pm,

∴ x=1.5 can be considered as 8.30 pm.

Substitute x=1.5 in the line equation.

y= -10(1.5)+50.

y= -15-50.

y= 35.

You might be interested in
After a sleepover, 3/4 of a large pepperoni remained. The next day, he ate 1/8 of what was left over. What fraction of a large p
jekas [21]

Answer:

9/100

Step-by-step explanation:

You find 1/8 of 3/4 which is 9/100

4 0
3 years ago
"Zachary invested $50 and was able to triple his money in two years. Kayla also began with $50 in investments, and was able to c
horsena [70]
To cube something means to take it by 3, when used in the sentance, 3 cubed it refers to 3^3 power which means 3*3*3 which equals 21. In this context I'm guessing that they mean 50^3 which would be $125,000.

Hope this helps!=)

3 0
2 years ago
lucia works at her family's italian restaurant . A 20% tip is included with each other. one customer wants to know the price bef
alina1380 [7]

Answer:

$26.88

Step-by-step explanation:

33.60x.20=6.72

33.60-6.72= 26.88

8 0
3 years ago
A local movie theater is selling movie tickets for $5.25 during the first week of May. The regular price of a ticket is $6.75. W
Phantasy [73]

Answer:

7

Step-by-step explanation:

8

6 0
3 years ago
Barry is trying to calculate the distance between point E(3, 1) and point F(4, 7). Which of the following expressions will he us
Alex777 [14]

Answer:

Option (1) is correct.

Barry uses the expression " square root of the quantity of 7 minus 1 all squared plus 4 minus 3 all squared " to find the distance between point E(3, 1) and point F(4, 7).

Step-by-step explanation:

Given : Barry is trying to calculate the distance between point E(3, 1) and point F(4, 7).

Distance between two points can be calculate using distance formula,

Distance formula states given two points P(a,b) and Q(c,d)  the distance between P and Q can be calculated using the given expression ,

D=\sqrt{(c-a)^2+(d-b)^2}

Thus,  distance between point E(3, 1) and point F(4, 7) can be calculate using above formula as ,

Here, a= 3 , b= 1 , c = 4 and d = 7

D=\sqrt{(c-a)^2+(d-b)^2}

Substitute above values, we get,

D=\sqrt{(4-3)^2+(7-1)^2}

D=\sqrt{(1)^2+(6)^2}

D=\sqrt{37}

Thus, Barry uses the expression " square root of the quantity of 7 minus 1 all squared plus 4 minus 3 all squared " to find the distance between point E(3, 1) and point F(4, 7).

Thus, Option (1) is correct.


6 0
3 years ago
Read 2 more answers
Other questions:
  • Which is the simplified form of m^-8p^0
    12·2 answers
  • Solve using linear combination <br> 4x+y=5<br> 3x+y=3
    13·2 answers
  • NEED HELP LIKE NOW PLSSS HELP 50 POINTS Type the correct answer in the box. Use numerals instead of words. If necessary, use / f
    8·1 answer
  • Suppose A is a matrix and k is a positive integer. What does the notation Ak mean?
    11·1 answer
  • What is the formula for the area of a square?
    5·2 answers
  • Prove: Let x and y be positive real numbers. If x ≤ y, then √x ≤ √y.
    5·1 answer
  • Spin a spinner numbered 1-8 two times, land on two the first time and
    9·2 answers
  • What’s the equation of the line?
    8·1 answer
  • round each weight to the nearest whole gram. them estimate the total weigh of the coins in allens hand peny is 2.500 nickel is 5
    5·1 answer
  • Q6: Find the first 3 terms of the sequence: a1 = 12, an = 3an-1 – 21<br> ,n&gt;2
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!