answer.
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
Sloan [31]
2 years ago
11

The marketing department at Cable TV (CTV) wants to know how promotional advertising affects the number of viewers for the Satur

day Night Movie. Research shows that 10 million viewers watched the movie when CTV ran 15 one-minute ads on Friday. When they ran 25 one-minute ads on Friday, the movie had 18 million viewers. Use linear interpolation to estimate the number of viewers if CTV runs 23 one-minute ads on Friday.
Mathematics
1 answer:
Ilya [14]2 years ago
7 0

Answer:

  16.4 million viewers

Step-by-step explanation:

The number of viewers increased by 8 million from 10 to 18 million when the number of ads increased by 10 ads from 15 to 25. If 23 ads are run, that represents an increase of 8 ads from 15, so we expect 8/10 of the increase in viewers.

  8/10 × 8 million = 6.4 million

The number we expect with 23 ads is 6.4 million more viewers than 10 million viewers, so is 16.4 million.

_____

<em>Alternate solution</em>

We can write a linear equation in 2-point form for the number of viewers expected for a given number of ads:

  y = (18 -10)/(25 -15)(x -15) +10

  y = (8/10)(x -15) +10

  y = 0.8x -2 . . . . . million viewers for x ads

For 23 ads, this gives ...

  y = 0.8×23 -2 = 18.4 -2 = 16.4 . . . . million viewers, as above

_____

<em>Comment on 8/10</em>

I consider it coincidence that the number 23 is 8/10 of the difference between 25 and 15, and the slope of the line is 8/10. The point we're trying to interpolate has no relationship to the slope of the line, and vice versa.

You might be interested in
Fredrick and Kate have 1713 cups of flour. They want to make loaves of banana bread for a bake sale. Fredrick has a recipe for b
Mariana [72]

Answer:

Fredrick's recipe will make 10 whole loaves.

There will be less flour left over if Frederick's recipe is used.

Step-by-step explanation:

Fredrick and Kate have 17 1/3 cups of flour. They want to make loaves of banana bread for a bake sale. Fredrick has a recipe for banana bread that calls for 1 5/8 cups of flour. Kate has a recipe that calls for 1 3/4 cups of flour. Select all the statements that are true about the recipes.

1. Fredrick's recipe will make 10 whole loaves.

2. Kate's recipe will make 11 whole loaves.

3. There will be less flour left over if Frederick's recipe is used.

4. There will be less flour left over if Kate's recipe is used.

5. More loaves of bread can be made using Frederick's recipe than Kate's recipe.

Solution:

Total cups of flour = 17 1/3

Fredrick recipe = 1 5/8 cups of flour

Kate = 1 3/4 cups of flour

Number of banana bread made with Fredrick's recipe = Total flour / flour per Fredrick's recipe

= 17 1/3 ÷ 1 5/8

= 52/3 ÷ 13/8

=52/3 × 8/13

= 416 / 39

= 10.67 loaves of banana bread

Number of banana bread made with Kate's recipe = Total flour / flour per Kate's recipe

= 17 1/3 ÷ 1 3/4

= 52/3 ÷ 7/4

= 52/3 × 4/7

= 216 / 21

= 10.29 loaves of banana bread

The true statements are:

Fredrick's recipe will make 10 whole loaves.

There will be less flour left over if Frederick's recipe is used

5 0
2 years ago
The championship record in baseball in a certain year was 52 games won, and 14 lost. What percent of the games were won?
slamgirl [31]
Number of games won/Number of total games played x 100%

52/66 x 100% = 78.79%

Hope u understood! :)
5 0
2 years ago
A repairman charges $18 per hour to repair appliances plus $0.27 per mile to drive to the house and back. It took the repairman
ivolga24 [154]

Answer: The charge was right.

Step-by-step explanation:

If he charged $18 per hour, it means he charged $18 for 60 minutes. He worked for 2 hours 15 minutes which is (60 ×2) + 15 = 135 minutes. For 135 mins, (135 ×18)÷ 60 = 40.5.

He drove 21 miles to his house and 21 miles back. That is 21×2= 42. And for $0.27 = $11.34.

Adding the costs, 40.5 + 11.34 = $51.84

5 0
1 year ago
The table shows the side length and approximate area of an octagonal stop sign.
Ann [662]
Area = (# of sides * side length^2) / [4 * tan (180/n)]
area = (8 * x^2) / 4 * tan (22.5)
area = 8 x^2 / (4 * 0.41421)
area = 8 x^2 / <span> <span> <span> 1.65684 </span> </span> </span>
area = 4.828 x^2

So, it seems the correct answer is the first one.


5 0
2 years ago
Read 2 more answers
Which statement is true about the graphs of the two lines y = –6 and x =1/6 ?
sweet-ann [11.9K]
These lines are perpendicular because y = -6 is a horizontal line with a slope of 0 and x = 6 is a vertical line with an undefined slope
6 0
2 years ago
Read 2 more answers
Other questions:
  • Is 4.125... rational or irrational
    9·1 answer
  • Un teren de 220 ha trebuie arat in 3 zile.Stiind ca a doua zi s-a arat de 1,5 ori mai mult ca in frima zi,iar in a treia zi s-a
    13·1 answer
  • Two consecutive even integers have a sum of 346. Find the smailler of these two numbers
    10·2 answers
  • Isabelle is mixing red paint with blue paint to make purple paint. She adds of a fluid ounce of red to of a fluid ounce of blue
    9·2 answers
  • A poll shows that 60% of students enjoy mathematics. A random sample of 25 students showed that 80% of them enjoy mathematics. A
    11·2 answers
  • Using Normal Distribution to Analyze Data Martin suspects that people carry less cash with them than they used to because of cre
    12·1 answer
  • For an outdoor concert by the city​ orchestra, concert organizers estimate that 16 comma 000 people will attend if it is not rai
    14·1 answer
  • The image of trapezoid PQRS after a reflection across Line W Y is trapezoid P'Q'R'S'. 2 trapezoids are shown. Line W Y is the li
    10·2 answers
  • The students in Marly’s math class recorded the dimensions of their bedrooms in a frequency table.
    9·2 answers
  • Kenny is thinking of two numbers greater than 10.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!