Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which equations represent a proportional relationship? Select all that apply.
A)
y=0.5 x+10
B)
y=3x-5
C)
y=x+1
D)
y=17.5 x
E)
y=5x-1
F)
y=100 x

Which equations represent a proportional relationship? Select all that apply. $\newline$ A) $y=0.5 x+10$ $\newline$ B) $y=3 x-5$ $\newline$ C) $y=x+1$ $\newline$ D) $y=17.5 x$ $\newline$ E) $y=5 x-1$ $\newline$ F) $y=100 x$

View step-by-step help

View step-by-step help

Evaluate recursive formulas for sequences

Full solution

Q. Which equations represent a proportional relationship? Select all that apply.

\newline

A)

y=0.5 x+10

\newline

B)

y=3 x-5

\newline

C)

y=x+1

\newline

D)

y=17.5 x

\newline

E)

y=5 x-1

\newline

F)

y=100 x

Proportional Relationship Definition: A proportional relationship is when the ratio of $y$ to $x$ is constant, meaning the equation is of the form $y = kx$ where $k$ is a constant.
Equation A Analysis: Check equation A: $y = 0.5x + 10$ . This is not of the form $y = kx$ because it has a y-intercept of $10$ , which is not zero.
Equation B Analysis: Check equation B: $y = 3x - 5$ . This is also not of the form $y = kx$ because it has a $y$ -intercept of $-5$ , which is not zero.
Equation C Analysis: Check equation C: $y = x + 1$ . This is not of the form $y = kx$ because it has a $y$ -intercept of $1$ , which is not zero.
Equation D Analysis: Check equation D: $y = 17.5x$ . This is of the form $y = kx$ because there is no $y$ -intercept, so it represents a proportional relationship.
Equation E Analysis: Check equation E: $y = 5x - 1$ . This is not of the form $y = kx$ because it has a $y$ -intercept of $-1$ , which is not zero.
Equation F Analysis: Check equation F: $y = 100x$ . This is of the form $y = kx$ because there is no $y$ -intercept, so it represents a proportional relationship.

More problems from Evaluate recursive formulas for sequences

Question

Find the sum of the finite arithmetic series.

\sum_{n=1}^{10} (7n+4)

\newline

Posted 2 months ago

Question

Type the missing number in this sequence: `55,\59,\63,\text{_____},\71,\75,\79`

Posted 1 month ago

Question

Type the missing number in this sequence: `2, 4 8`, ______,`32`

Posted 2 months ago

Question

What kind of sequence is this?

2, 10, 50, 250, \ldots

Choices:Choices:

\newline

\text{[A]arithmetic}

\newline

\text{[B]geometric}

\newline

\text{[C]both}

\newline

\text{[D]neither}

Posted 2 months ago

Question

What is the missing number in this pattern?

1, 4, 9, 16, 25, 36, 49, 64, 81, \_\_\_\_

Posted 1 month ago

Question

Classify the series.

\sum_{n = 0}^{12} (n + 2)^3

\newline

\newline

\text{[A]arithmetic}

\newline

\text{[B]geometric}

\newline

\text{[C]both}

\newline

\text{[D]neither}

Posted 1 month ago

Question

Find the first three partial sums of the series.

\newline

1 + 6 + 11 + 16 + 21 + 26 + \cdots

\newline

Write your answers as integers or fractions in simplest form.

\newline

S_1 =

\newline

S_2 =

\newline

S_3 =

Posted 1 month ago

Question

Find the third partial sum of the series.

\newline

3 + 9 + 15 + 21 + 27 + 33 + \cdots

\newline

Write your answer as an integer or a fraction in simplest form.

\newline

S_3 =

Posted 1 month ago

Question

Find the first three partial sums of the series.

\newline

1 + 7 + 13 + 19 + 25 + 31 + \cdots

\newline

Write your answers as integers or fractions in simplest form.

\newline

S_1 =

\newline

S_2 =

\newline

S_3 =

Posted 2 months ago

Question

Does the infinite geometric series converge or diverge?

\newline

1 + \frac{3}{4} + \frac{9}{16} + \frac{27}{64} + \cdots

\newline

\newline

\text{[A]converge}

\newline

\text{[B]diverge}

Posted 1 month ago