# Mathematics

Raj is a dog walker. He charges \$85 walking fee and \$20 per dog, with the first dog free. Which equation could you use to calculate the cost, c, to have Raj walk d dogs?

Caroline is sky diving. With her parachute open, she descends from 12,000 feet at a rate of 13 feet per second. What is the unit rate of change for this problem situation?

Wendy is a math tutor. She charges \$45 for each tutoring session plus \$0.80 per mile that she has to drive to and from the session. Write an equation to represent this situation. Explain your answer.

Remember that PER means to multiply.

The problem GIVES you the answer. It's telling you to add the number 45 somewhere in the equation. The sentence above TELLS you what the equation is: "She charges \$45 for each tutoring session plus \$0.80 per mile that she has to drive to and from the session."

The table shows the relationship between two quantities.

Jim is an electrician. He charges a \$150 home-visit fee and \$45 per hour, with the first two hours free. Which equation could Elyse use to calculate the cost, c, to have Jim work at her house for 5 hours?

Rose has a savings account. Every month she deposits \$20 in it. The graph shows the relationship between the months and the balance of Rose’s savings account.

ANSWER: Eight goes up to 160 on the graph. x=months she will have more than 160. x>8

The table shows the cost of renting a moving truck from U-Move-It based on the number of hours the truck is rented.

Ira used the table shown to record the height of an airplane that is landing.

The graph shows a relationship between two quantities.

A graph is shown in the xy-plane. The values on the x-axis range from negative 8 to 8 in increments of 2 and the values on the y-axis range from 0 to 2000 in increments of 200. A line starts from a point (negative 9, 0), and goes up. Seven points are marked on the line with coordinates (negative 9, 0), (negative 8, 300), (negative 6, 600), (negative 2, 1200), (0, 1500), (2, 1800), and (4, 2100).

Which equation best represents the relationship between the variables?

Complete the table of values for the equation
y
=

4
x
+
2
y
=
-
4
x
+
2

-3 = 14
-1=6
0=2
2=-6
3=-10
4=-14

Leticia is a physical therapist. She charges \$220 home-visit fee and \$60 per hour, with the first hour free. Which equation could you use to calculate the cost, c, to have Leticia give you physical therapy at your home for h hours?

A submersible can dive to a depth of 2000 feet below sea level at a rate of 245 feet per minute. How deep would the submersible be in 45 seconds?

Lily is filling a 80-cup jug with lemonade. The graph shows the relationship between time in minutes and cups of lemonade.

A graph is shown in the xy-plane. The x-axis is labeled as Time left parenthesis minutes right parenthesis and the y-axis is labeled as Cups of lemonade. The values on the x-axis range from 0 to 18 in increments of 2 and the values on the y-axis range from 0 to 90 in increments of 10. A line starts from the origin, goes up to a point (20, 80).

At which number of minutes will there be more than 36 cups of lemonade in the jug? Select two answers.

Which equations are in the form of
y
=
c
+
d
(
x

1
)
y
=
c
+
d
x
-
1

SkyHigh TV is a satellite television provider. They charge by the month. The first month of service costs \$85.45. The second month of service costs \$148.65. The third month of service costs \$211.85. Write an equation in the form of
y
=
c
+
d
(
x

1
)
y
=
c
+
d
(
x

1
)

ANSWER: y= 85.45 +63.2 (x-1). 148-85.45= 63.2 (this should be on another quiz) 211.85 - 148.65= 63.2
The charges go up by 63.2 every month.

Plug in these numbers in the equation.
y= 85.45+63.2 (x-1)

Graphing Quantitative Relationships Test

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1. You do realize that in each of your last 5 posts, there are no choices for answers visible, so how can your answers be checked?

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2. Is he correct tho?

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3. Number 9 is D,

Math quizzes is right on all the rest of the multi choice

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4. i'm gonna put in those answers and i'll tell you guys if they're right

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5. Math Quizzes is 100% right! but 9 is D!!

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