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2 years ago

The graph below shows the distance a car can travel, y, using x gallons of gasoline.

Mathematics

1 answer:

Leviafan [203]2 years ago

6 0

Answer:

Part A= 25 miles Part B= 225 miles

Step-by-step explanation:

The car uses 2 gallons to travel 50 miles so 1 gallon is equal to 25 miles.

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A taxi service offers a ride with an $5 surcharge and charges $0.50 per mile.

Butoxors [25]

Answer:

50 miles

Step-by-step explanation:

x = (30 - 5) / 0.50

Subtract To Solve Parentheses

x = 25 / 0.50

Divide

x = 50

7 0

3 years ago

Lee las situaciones y realiza lo siguiente con cada una:

Julli [10]

Answer:

Part 1) see the explanation

Part 2) see the explanation

Part 3) see the explanation

Part 4) see the explanation

Step-by-step explanation:

The question in English is

Read the situations and do the following with each one:

Write down the magnitudes involved

Write which magnitude is the independent variable and which is the dependent variable

It represents the function that describes the situation

SITUATIONS:

1) A machine prints 840 pages every 30 minutes.

2) An elevator takes 6 seconds to go up two floors.

3) A company rents a car at S/ 480 for 12 days.

4) 10 kilograms of papaya cost S/ 35

Part 1) we have

A machine prints 840 pages every 30 minutes

Let

x ----> the time in minutes (represent the variable independent or input value)

y ---> the number of pages that the machine print (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In this problem

we have a a proportional variation

The value of the constant of proportionality is equal to

$k=\frac{y}{x}$

we have

$y=840\ pages\\x=30\ minutes$

substitute

$k=\frac{840}{30}=28\ pages/minute$

The linear equation is

$y=28x$

Part 2) we have

An elevator takes 6 seconds to go up two floors.

Let

x ----> the time in seconds (represent the variable independent or input value)

y ---> the number of floors (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In this problem

we have a a proportional variation

The value of the constant of proportionality is equal to

$k=\frac{y}{x}$

we have

$y=2\ floors\\x=6\ seconds$

substitute

$k=\frac{2}{6}=\frac{1}{3}\ floors/second$

The linear equation is

$y=\frac{1}{3}x$

Part 3) we have

A company rents a car at S/ 480 for 12 days.

Let

x ----> the number of days (represent the variable independent or input value)

y ---> the cost of rent a car (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In this problem

we have a a proportional variation

The value of the constant of proportionality is equal to

$k=\frac{y}{x}$

we have

$y=\$480\\x=12\ days$

substitute

$k=\frac{480}{12}=\$40\ per\ day$

The linear equation is

$y=40x$

Part 4) we have

10 kilograms of papaya cost S/ 35

Let

x ----> the kilograms of papaya (represent the variable independent or input value)

y ---> the cost (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In this problem

we have a a proportional variation

The value of the constant of proportionality is equal to

$k=\frac{y}{x}$

we have

$y=\$35\\x=10\ kg$

substitute

$k=\frac{35}{10}=\$3.5\ per\ kg$

The linear equation is

$y=3.5x$

6 0

2 years ago

Write a recursive definition for the sequence 21,16,11,6

SVETLANKA909090 [29]

A recursive definition for the sequence shown above can be x = n-5.
21 - 5 = 16
16 - 5 = 11
11 - 5 = 6
and so on...

The number sequence has a difference of 5 in each of the values before and after them.

4 0

2 years ago

Find f(4) if f(x) = 3x + 1

Alenkasestr [34]

Answer:f(4)=−3x−1 f ( 4 ) = - 3 x - 1.

Step-by-step explanation:ff(4)=−3x−1 f ( 4 ) = - 3 x - 1.

f(4)=−3x−1 f ( 4 ) = - 3 x - 1. Replace the variable x x with 4 4 in the expression. f(4)=−3⋅4−1 f ( 4 ) = - 3 ⋅ 4 - 1. Simplify the result.

4 0

3 years ago

PQ is parallel to RS. PR and QS are perpendicular to PQ and RS the ratio of the lengths of PR and QS is......

Lady bird [3.3K]

$\frac{PQ}{PR} = \frac{RS}{QS}$ → $\frac{PR}{PQ} = \frac{QS}{RS}$

the ratio of PR to QS is 1:1 because they are congruent (equal)

If you draw a picture, you will see that PQRS is a parallelogram.

6 0

2 years ago