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sashaice [31]
3 years ago
11

A car enters a turnpike 22 miles north of a town. The car teavels north at an average speed of 64 miles per hour. How far is the

car from the town after 4 hours? Explain how you can use linear function to solve this problem. Then, solve the problem.​
Mathematics
2 answers:
ladessa [460]3 years ago
6 0

Answer:

Sample Response: Distance is a function of time. The constant rate of change is 64. Write the equation y = 64x + 22. Substitute 4 in for x to get 278 miles.

Step-by-step explanation:

HACTEHA [7]3 years ago
4 0

Answer:

  • distance traveled can be modeled by a linear function
  • the car is 260 miles north of town

Step-by-step explanation:

a) When the speed is constant, the distance traveled is proportional to the travel time, a linear relationship. The distance traveled can be added to the initial distance to obtain the total distance (from town). This relation is a linear function. It can be modeled by the equation ...

  d(t) = 4 + 64t . . . where t is travel time in hours, d(t) is the distance in miles

b) After 4 hours, the distance north of town is ...

  d(4) = 4 +64(4) = 260

The car is 260 miles from the town after 4 hours.

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In 1990, a magazine collected data and published an article evaluating freezers. It listed 45 models, giving the brand, cost (do
Anna71 [15]

Complete question is;

In 1990​, a magazine collected data and published an article evaluating dryers. It listed 45 ​models, giving the​ brand, cost​ (dollars), size​ (cu ft),​ type, estimated annual energy cost​ (dollars), an overall rating​ (good, excellent,​ etc.), and repair history for that brand​ (percentage requiring repairs over the past 5​ years).

The​ W's are​ Who, What,​ When, Where,​ Why, and hoW.

1) Identify the Who. Choose the correct answer below.

A. 45 models of dryers

B. Dryers

C. Brands of dryers

D. Size of dryers dryers

2) Identify the What. Choose the correct answer below.

A. ​Brand, type, overall rating

B. ​Brand, cost,​ size, type, estimated annual energy​ cost, overall​ rating, repair history

C. Cost, size, estimated annual energy​ cost, repair history

D. ​Brand, cost,​ size, type

3) Identify the When. Select the correct choice below​ and, if​ necessary, fill in any answer boxes within your choice.

A. The data were recorded in 1990.

B. The information is not provided.

4) Identify the Where. Choose the correct answer below.

A. The 45 models of dryers

B. The information is not provided.

C. The population of dryers

5) Identify the Why. Choose the correct answer below.

A. To provide information to the magazine's readers

B. To write an article about dryers

C. To compare the size of the dryers

D. To collect information about dryers

6) Identify the hoW. Choose the correct answer below.

A. The different dryers belonged to the​ magazine's employees.

B. The dryers were chosen at random.

C. The information is not provided.

7) Identify each variable as either categorical or quantitative.

Brand

▼

Categorical

Quantitative

Estimated annual energy cost

▼

Quantitative

Categorical

Cost

▼

Categorical

Quantitative

Overall rating

▼

Categorical

Quantitative

Size

▼

Quantitative

Categorical

Repair history

▼

Quantitative

Categorical

Type

▼

Categorical

Quantitative

8) For each quantitative​ variable, determine the units in which it was measured.

Cost

▼

Dollars

Not specified

Pounds

Estimated annual energy cost

▼

Dollars

Pounds

Not specified

Size

▼

Cubic inches

Cubic feet

Feet

Inches

Not specified

Repair history

▼

Years

Percentages

Not Specified

Answer:

All answered below.

Step-by-step explanation:

1) Option A: 45 models of dryers

2) Option B: ​Brand, cost,​ size, type, estimated annual energy​ cost, overall​ rating, repair history

3) Option A: The data were recorded in 1990.

4) Option B: The information is not provided.

5) Option A: To provide information to the​ magazine's readers

6) Option C. The information is not provided.

7) - Brand variable is Categorical

- Estimated annual energy cost variable is Quantitative

- Cost variable is Quantitative

- Overall rating variable is Categorical

- Size variable is Quantitative

- Repair history variable is Quantitative

- Type variable is Categorical

8) - cost​ is in dollars)

- estimated annual energy cost​ is in dollars

- size​ is in cu. ft

- repair history is in percentages

8 0
3 years ago
The next term in the geometric sequence -1, -2, -4, ... is -6.<br><br> True<br> False
bixtya [17]
False. All the numbers are doubling. -1 to -2 to -4. The next number would probably be be -8.


Have a nice day!
4 0
3 years ago
How many solutions are there to the equation below 6×+30+4×=10(×+3)
Elena-2011 [213]

Answer:

Infinite many solutions. Any x-value can satisfy the equation.

Step-by-step explanation:

Let's work on simplifying the equation a little to investigate which x-values satisfy it. Start by combining like terms on the left side (6x +4x=10x),

then distribute the factor "10" into the binomial (x+10), obtaining 10x +30.

Now we have the same expression on the left and the right of the equal sign:

10x +30=10x+30. We may subtract 30 from both sides, and obtain 10x=10x, and at this point divide by 10 both sides, and we obtain: x=x

The process is shown below.

6x+30+4x=10(x+3)\\6x+4x+30=10x+30\\10x+30=10x+30\\10x=10x\\x=x

x=x is an equation that is verified by absolutely ANY x value on the number line, and there are infinite x-values in the number line.

Therefore there are infinite many solutions to this equation (any x-value will satisfy it).

7 0
3 years ago
Points M and N are two of the vertices of a right triangle. They are the endpoints of the hypotenuse MN¯¯¯¯¯¯¯ of the triangle.
Oksi-84 [34.3K]
(5,-2) is the answer
5 0
3 years ago
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zimovet [89]

Answer:

1. -10x + 9

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8 0
3 years ago
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