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#### There is an exact formula to convert Celsius temperatures to Fahrenheit

###### Math

1. There is an exact formula to convert Celsius temperatures to Fahrenheit. However, a simple approximation is twice the Celsius temperature plus 30. What is the approximate Fahrenheit temperature for 30°C?
2. The National Mall is approximately 6,400,000 square feet. If an event organizer estimates the density at 4 square feet per person, approximately how many people are attending the event on the mall?
3. A survey of pet owners who keep their pets in their homes or apartments were asked what kind of pet they owned. The percent of owners who responded for each pet type is shown in the following circle graph.

A circle graph contains 5 sectors. Going clockwise starting from the top they are as follows.
• The largest sector is labeled "Dogs". It covers slightly over half of the circle.
• The next largest sector is "Cats". It composes about one third of the circle.
• The next largest sector is "Fish". It composes slightly less than one tenth of the circle.
• The second smallest sector is "Rabbits". It composes slightly less of the circle than the "Fish" sector does.
• The smallest sector is "Other". It is about 1/2 the size of the "Fish" sector.
From the graph, is it reasonable to estimate that more than 50% of the respondents had cats?
4.

The following bar graph shows the approximate number of millionaires in the United States for selected years. (See Example 6 in this section.)

A bar graph with 7 bars has the horizontal axis labeled "Year" and the vertical axis labeled "Millionaires (in Millions)". The bar labels followed by their heights are listed:
• 2014, 10.0
• 2015, 10.7
• 2016, 10.9
• 2017, 11.7
• 2018, 12.2
• 2019, 12.5
• 2020, 13.2

(a)

Between which two years did the number of millionaires increase the least?

2014 and 20152015 and 2016    2016 and 20172017 and 20182018 and 20192019 and 2020

(b)

Between which two years did the number of millionaires increase the most?

2014 and 20152015 and 2016    2016 and 20172017 and 20182018 and 20192019 and 2020

5.

The following broken-line graph shows how much an item that cost \$10 in 1995 would cost, because of inflation, for the years shown. (See Example 8 in this section.)

A graph has the horizontal axis labeled "Year" and the vertical axis labeled "Cost (in dollars)". It is composed of straight line segments connecting together points. The approximate points are listed as follows:
• (1995, 10)
• (2000, 11.4)
• (2005, 12.8)
• (2010, 14.5)
• (2015, 15.8)
• (2020, 16.2)
What would be the item's approximate cost in 2015? (Round your answer one decimal place.)
6.

A survey of pet owners who keep their pets in their homes or apartments were asked what kind of pet they owned. The percent of owners who responded for each pet type is shown in the following circle graph.

A circle graph contains 5 sectors. Going clockwise starting from the top they are as follows.
• The largest sector is labeled "Dogs." It covers slightly over half of the circle.
• The next largest sector is "Cats." It composes about one third of the circle.
• The next largest sector is "Fish." It composes slightly less than one tenth of the circle.
• The second smallest sector is "Rabbits." It composes slightly less of the circle than the "Fish" sector does.
• The smallest sector is "Other." It is about half the size of the "Fish" sector.
If exactly 50% of the respondents had cats, the portion of the circle graph representing the response "cats" would be exactly one-half  of the area of the circle. The portion of the circle graph that represents the percent of respondents who had cats is less than 50%  .
From the graph, is it reasonable to estimate that more than 50% of the respondents had cats?
7.

Copy the link https://goo.gl/ZAQK2B. This will direct you to a document from which you can access spreadsheets that may be useful for checking your work for the exercise.
Two friends are to share a pizza that is one-third cheese, one-third pepperoni, and one-third green pepper. To Zelda, the cheese part is worth \$12, the pepperoni part is worth \$6, and the green pepper part is worth \$2.
(a)
What is the value of the pizza to Zelda?
\$20
(b)
If the pizza is cut into such a way that she receives one-third of the cheese part, one half of the pepperoni part, and none of the green pepper part, does she receive a fair share of the pizza?
8.

(a)

Which of the following scatter diagrams suggests a nearly perfect positive linear correlation between the x and y variables?

• Several points are shown on the x y plane.
• The points lie in a extremely narrow area.
• The y values increase as the x values increase.

• Several points are shown on the x y plane.
• The points lie in a narrow area.
• The y values generally increase as the x values increase.

• Several points are shown on the x y plane.
• The points lie in a narrow area.
• The y values generally decrease as the x values increase.

• Several points are shown on the x y plane.
• The points lie in a extremely broad area.
• The y values may increase or decrease as the x values increase.

(b)

Which of the following scatter diagrams suggests little or no linear correlation between the x and y variables?

• Several points are shown on the x y plane.
• The points lie in a extremely narrow area.
• The y values increase as the x values increase.

• Several points are shown on the x y plane.
• The points lie in a narrow area.
• The y values generally increase as the x values increase.

• Several points are shown on the x y plane.
• The points lie in a narrow area.
• The y values generally decrease as the x values increase.

• Several points are shown on the x y plane.
• The points lie in a extremely broad area.
• The y values may increase or decrease as the x values increase.