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Vaselesa [24]
3 years ago
5

3. The equation y = 12x describes the amount of money Louis earns, where x is the number of hours he works and y is the amount o

f money he earns.
The table shows the amount of money Carl earns for different numbers of hours worked.
Carl’s Earnings
Time: 3 5 8 10
Money Earned: 45 75 120 150
(a) How much money does Carl earn per hour? Show your work. Write your answer in a complete sentence.
(b) Who earns more per hour? Justify your answer. Write your answer in a complete sentence.
(c) Draw a graph that represents Carl’s earnings over time in hours. Remember to put a title, label the axes and use an appropriate scale. Use a ruler or straightedge to draw your lines.

Mathematics
1 answer:
Firdavs [7]3 years ago
3 0

Answer:

15 per hour

Carl earns more

Step-by-step explanation:

Carl's earnings = earnings/no ofhours

We select any hour and corresponding earnings say 150 and 10

Earning per hour of Carl = 150/10 = 15 per hour.

b) Carl earns more as 15 >12 hourly rate of other person

c)


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Mariana [72]

Answer:

x = -3 and x = 17

Step-by-step explanation:

x² - 51 = 14x

x² - 14x - 51 = 0

(x + 3)(x - 17) = 0

x = -3 and x = 17

4 0
3 years ago
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A one-parameter family of solutions of the de p' = p(1 − p) is given below.
tensa zangetsu [6.8K]

Answer:

A solution curve pass through the point (0,4) when c_{1} = -\frac{4}{3}.

There is not a solution curve passing through the point(0,1).

Step-by-step explanation:

We have the following solution:

P(t) = \frac{c_{1}e^{t}}{1 + c_{1}e^{t}}

Does any solution curve pass through the point (0, 4)?

We have to see if P = 4 when t = 0.

P(t) = \frac{c_{1}e^{t}}{1 + c_{1}e^{t}}

4 = \frac{c_{1}}{1 + c_{1}}

4 + 4c_{1} = c_{1}

c_{1} = -\frac{4}{3}

A solution curve pass through the point (0,4) when c_{1} = -\frac{4}{3}.

Through the point (0, 1)?

Same thing as above

P(t) = \frac{c_{1}e^{t}}{1 + c_{1}e^{t}}

1 = \frac{c_{1}}{1 + c_{1}}

1 + c_{1} = c_{1}

0c_{1} = 1

No solution.

So there is not a solution curve passing through the point(0,1).

3 0
3 years ago
Solve this
sesenic [268]

A sandwich store charges a delivery fee to bring lunch to an office.

Delivery cost - D

Meatball sandwich cost  - M

One office pays $40.50 for 5 meatball sandwiches.

40.50 = 5M + D

Another office pays $66.50 for 9 meat ball sandwiches

66.50 = 9M + D

A. How much does each meatball sandwich add to the cost of delivery?

D = 40.50 - 5M = 66.50 - 9M

40.50 - 5M = 66.50 - 9M

9M - 5M = 66.50 - 40.50

4M = 26.00

M = 6.50

B. What is the delivery fee

D = 40.50 - 5M = 40.50 - 5(6.50) = 40.50 - 32.50 = 8.00

Check

66.50 = 9M + D = 9(6.50) + 8 = 58.50 + 8.00 = 66.50

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3 years ago
Marlene has 5 pink ribbons, 1 blue ribbon, and 4 purple ribbons in a box. She will randomly choose 1 bow from the box.
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3 years ago
-2k+13=-8k-35<br> What’s k
max2010maxim [7]

Answer:

k = -8

Step-by-step explanation:

-2k+13=-8k-35

Add 8k to each side

-2k+8k+13=-8k+8k-35

6k +13 = -35

Subtract 13 from each side

6k+13-13 = -35-13

6k = -48

Divide by 6

6k/6 = -48/6

k = -8

5 0
3 years ago
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