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3 years ago

14

The table below represents the distance of a train from its destination as a function of time: Time (hours) x Distance (miles) y

0 665 1 570 2 475 3 380 4 285 Part A: What is the y-intercept of the function, and what does this tell you about the train? (4 points) Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours, and tell what the average rate represents. (4 points) Part C: What would be the domain of the function if the train continued to travel at this rate until it reached its destination? (2 points)

1 answer:

stiv31 [10]3 years ago

3 0

A. y=-95x+665 y-intercept is 665
B. Ave rate of change is -95
C. y=0 so x=7 Domain is [0,7]

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Answer:

Step-by-step explanation:

In order to determine the number of

tiles she will need to cover the pyramid, we would apply the formula for determining the total surface area of a pyramid. It is expressed as

Total surface area = 1/2 × p × l + base area

Where

p represents the perimeter of the base

l represents the slant height of the triangular face

Since the base is a square, the perimeter, p is

12 × 4 = 48 feet

l = 15 feet

Base area = 12² = 144 ft²

Total surface area = (1/2 × 48 × 15) + 144 = 504 ft²

Since the artist decides to cover the metal structure with 1-foot square glass tiles, the number of tiles needed is

504/1 = 504 tiles

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Read the problem and examine the diagram. Fletcher got 92 votes in the class election. 115 people voted. What percent of all the

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80%.

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3 years ago

Direction: Solve the given problems.

MAXImum [283]

<h2>○=> <u>Solution (6)</u> :</h2>

Ratio of two numbers = 2:3

The larger number = 6

Let the smaller number be x.

Which means :

$=\tt 2 : 3 \: = \: x : 6$

$= \tt \frac{2}{3} = \frac{x}{6}$

$=\tt 2 \times 6 = 3 \times x$

$=\tt 12 = 3x$

$=\tt x = \frac{12}{3}$

$\hookrightarrow\color{plum}\tt \: x = 4$

▪︎<u>Therefore, the smaller number = 4</u>

<h2>○=> <u>Solution (7)</u> :</h2>

36 compared to 6 = $\tt \frac{36}{6}$

Let the number be x.

Which means :

$= \tt \frac{36}{6} = \frac{x}{3}$

$=\tt \frac{36 \div 2}{6 \div 2} = \frac{x}{3}$

$=\tt \frac{36}{6} = \frac{18}{3}$

▪︎Therefore, the fractional number $\tt \frac{18}{3}$ is equal to $\tt \frac{36}{6}$ .

<h2>○=> <u>Solution (8)</u> :</h2>

Number of Rose's for 24 red Rose's = 6

This can be written in a ratio as 24:6

Number of roses = 8

Let the number of red roses for these roses be x.

Which means :

$=\tt \frac{24}{6} = \frac{x}{8}$

$=\tt 24 \times 8 = 6 \times x$

$=\tt 192 = 6x$

$=\tt x = \frac{192}{6}$

$\hookrightarrow \color{plum}\tt x = 32$

▪︎Therefore, 32 red roses are there if there are 8 roses.

<h2>○=> <u>Solution (9)</u> :</h2>

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This can be written in a ratio as 7:2

Number of children in the plaza = 21

Let the number of adults be x.

Which means :

$= \tt \frac{7}{2} = \frac{21}{x}$

$=\tt7 \times x = 2 \times 21$

$=\tt 7x = 42$

$=\tt x = \frac{42}{7}$

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<h2>○=> <u>Solution (10)</u> :</h2>

Cost of 12 pencils = P60

Cost of 1 pencil :

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Thus, the cost of one pencil = P5

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= Cost of one pencil × 25

$=\tt 5 \times 25$

$\color{plum}=\tt \: P \: 125$

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You mean the answer of 5x3833 divided by two?

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Answer:

12.48

Step-by-step explanation:

12*1.04=12.48

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