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Arlecino [84]
2 years ago
12

Two hot air balloons are traveling along the same path away from a town, beginning from different locations at the same time. He

nry´s balloon begins 30 miles from the town and is 48 miles from the town after 2 hours. The distance of Tasha´s balloon from the town is represented by the function y= 8x +20.
which balloon was farther from the town at the beginning, and which traveled more quickly?

Mathematics
1 answer:
kolbaska11 [484]2 years ago
5 0

9514 1404 393

Answer:

  D.  Henry's started farther, went faster

Step-by-step explanation:

Henry's balloon traveled 18 additional miles (from 30 to 48) in 2 hours, so had a speed of 18mi/(2h) = 9 mi/h. The equation for his position could be ...

  y = 9x +30 . . . . . 9 is the rate of change; 30 is the initial value

__

Comparing this to Tasha's position function, we see her balloon started 20 miles from town and traveled 8 miles per hour.

__

Henry started farther from town and traveled faster.

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The cost in dollars of producing x vehicles for a company is given by C(x)=1200x+5500
GarryVolchara [31]

The rate of change represents the <em>variable production</em> cost rate. The <em>production</em> cost is increased in 1200 units per each <em>additional</em> manufactured car.

<h3>Interpretation of a linear function</h3>

Let be C and x the production cost and the number of vehicles produced, it there is a <em>linear</em> relationship between the two variables, then we have the following formula:

C(x) = \dot r \cdot x + C_{o} (1)

Where:

  • C_{o} - Fixed production costs.
  • \dot r - Variable production cost rate.

In a nutshell, the rate of change represents the <em>variable production</em> cost rate. The <em>production</em> cost is increased in 1200 units per each <em>additional</em> manufactured car. \blacksquare

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/8223651

7 0
2 years ago
A rectangle has a height of 7 and a width of a^4+5a^2+4a .
boyakko [2]

Answer:

  7a^4 +35a^2 +28a

Step-by-step explanation:

Area is the product of height and width:

  area = height × width

  = 7 × (a^4 +5a^2 +4a)

  area = 7a^4 +35a^2 +28a . . . . . . use the distributive property

5 0
2 years ago
Read 2 more answers
The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mea
Archy [21]

Answer:

Step-by-step explanation:

Given data:

\mu = 473

standard deviation is \sigma=  28

As distribution is normal in shape and values are symmetrical

The standard deviation rule says that 95% of observation lies between the second standard deviation of the mean

so, approximately only 5% of observation lies outside the interval and normal shape is symmetric. hence approximately 0.15% of observation lies above the interval

             = \mu + 2\times \sigma

             = 473 + 2\times 28 = 529

almost 0.15% of students spent more amount is 529

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3 years ago
Caitlin went to the store to buy school clothes .She had a store credit from from a previous return in the amount of $39.58 if s
charle [14.2K]

Answer:

each shirt costs 22.95

Step-by-step explanation:

39.58 + 52.22 = 91.80

91.80/4= $22.95 each

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3 years ago
I need help ASAP because I need done before 4:00pm
Naddik [55]

Answer:

the 13th one is 115

Step-by-step explanation:

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