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inysia [295]
2 years ago
8

You need to rent a video camera for your school project. Murphy's Camera charges a $30 rental fee plus $35 per day. Allied Renta

l charges a $45 rental fee plus $30 per day. Which company should you choose?
Independent variable (x):

Dependent variable (y):

System of equations:

Graph:

A. When does it make sense to rent a camera from Murphy's? How do you know?
B. When does it make sense to rent a camera from Allied Rental? How do you know?
C. Is there ever a time where it wouldn't matter which store to choose? Explain what this means in the context of a "system of equations."
D. If you were renting a camera for 3 days, how much money would you pay for each store? Show all work.
Mathematics
1 answer:
andreev551 [17]2 years ago
3 0

A. If a camera is rented for 1 or 2 days, it would be logical to rent it from Murphy's.

B. If a camera is needed for more than 3 days, it would make sense to rent it from Allied rental.

C. Yes, if a camera is rented for 3 days both rentals charge the same money.

C. If you were need a camera for 3 days, you would have to pay $135 for both stores.

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

Step 1; Murphy's camera costs $30 to rent and an additional $35 for each day of rental. So the equations are

y = $30 + (x × $35), where y is total cost and x is the number of days rented.

So for x = 1, y = $30 + (1 × $35) = $30 + $35 = $65

So for x = 2, y = $30 + (2 × $35) = $30 + $70 = $100

So for x = 3, y = $30 + (3 × $35) = $30 + $105 = $135

So for x = 4, y = $30 + (4 × $35) = $30 + $140 = $170

So for x = 5, y = $30 + (5 × $35) = $30 + $175 = $ 205.

Step 2; Allied rental costs $45 to rent and a $30 for each day of rental. So the equations are as follows

y = $45 + (x × $30), where y is total cost and x is the days rented

So for x = 1, $45 + (1 × $30) = $45 + $30 = $75

So for x = 2, $45 + (2 × $30) = $45 + $60 = $105

So for x = 3, $45 + (3 × $30) = $45 + $90 = $135

So for x = 4, $45 + (4 × $30) = $45 + $120 = $165

So for x = 5, $45 + (5 × $30) = $45 + $150 = $195

Step 3; Comparing both prices over 5 days. Murphy's is cheaper for until 2 days. On day 3 both the rentals cost the same but after day 4, allied rentals is the better option.

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1990 population was 254 million in 2014 it was 303 what was the percentage increase in the population
Ann [662]

Answer:

19.29%

Step-by-step explanation:

Given

Population in 1990

= 254000000

Population in 2014

= 303000000

Increase = 303000000 - 254000000

= 49000000

% increase in population =

Increase /initial population x 100%

That’s

49000000/254000000 x 100%

0.1929 x 100%

19.29%

The population increased by 19.29%

7 0
2 years ago
How many groups of 1/2 days are in 1 week? Write a multiplication equation or a division equation to represent the question, the
worty [1.4K]

Answer:

14 groups

Step-by-step explanation:

Given

Groupings = \frac{1}{2}\ day

Duration = 1\ week

Required

Determine the number of group in the week

To do this, we simply divide the duration by the number half day group.

This gives:

Group = \frac{Duration}{Groupings}

Group = \frac{1\ week}{1/2\ days}

Convert week to days

Group = \frac{7\ days}{1/2\ days}

Group = \frac{7}{1/2}

Group = 7 / \frac{1}{2}

Convert to multiplication

Group = 7 * \frac{2}{1}

Group = \frac{14}{1}

Group = 14

<em>Hence, there are 14 groups</em>

4 0
3 years ago
I need help....................
inysia [295]
10-200

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15-300

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3 0
3 years ago
Find the circumference of this circle<br>c,d,a,g,be​
zheka24 [161]

A,G,B

IDK I think thats it

4 0
2 years ago
You have decided to purchase a car for $19,000. The credit union requires a 10% down payment and will finance the balance with a
Lady_Fox [76]
<h2>○=> <u>Correct option</u> :</h2>

\color{plum} \bold{ \tt \:  \bold{C.  \$20,652.00}}

<h3>○=> <u>Steps to derive correct option</u> :</h3>

Selling price of a car = $19,000

Percentage of sales tax in the city = 8.3%

Sales tax :

= \tt  \frac{8.3}{10 \times 100}  \times 1900

= \tt  \frac{8.3 \times 19000}{1000}

= \tt  \frac{1577000}{1000}

\color{plum} = \tt  \$1577

Thus, the sales tax on the car = $1577

Cost of license and title = $75

Total price of car :

= Cost price of car + Sales tax + cost of license/title

=  \tt19000 + 1577 + 75

\color{plum} = \tt  \$20652

Thus, the total purchase price of the car = $20,652.00

Therefore, the correct option is <em>(C) $20,652.00</em>

6 0
2 years ago
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