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Sergio [31]
2 years ago
8

A student in a foreign language program learns 15 new words each week. Which graph best represents the relationship between x, t

he number of weeks the student has been in the program and y, the total number of new words the student has learned

Mathematics
1 answer:
nikitadnepr [17]2 years ago
3 0

Linear equations are represented by straight line.

The required graph is graph (a).

The given parameters are:

\mathbf{Rate  =15}

Let x represents the number of weeks, and y represents the number of words in week x.

So, we have:

\mathbf{y = Rate  \times x}

Substitute 15 for Rate

\mathbf{y = 15\times x}

\mathbf{y = 15x}

The above equation means that:

\mathbf{(x,y) = (0,0)(1,15),(2,30)....}

The graph that represents the above ordered pair is graph (a).

Read more about graphs at:

brainly.com/question/20853486

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3 years ago
You have 250,000 In an IRA at the time you retire.You have the option of investing this money in two funds.Fund A pays 1.2% annu
krok68 [10]

Let x be the amount of money, you fund in Fund A and y be the amount of mone yyou fund in Fund B.

1. You have 250,000 In an IRA at the time you retire and want to invest this money into Funds A and B, then

x+y=250,000.

2. Fund A pays 1.2% (as a decimal 1.2% is 0.012) annually, then x\cdot 0.012=0.012x is annual interest income in Fund A.

Fund B pays 6.2% (as a decimal 6.2% is 0.062) annually, then y\cdot 0.062=0.062y is annual interest income in Fund B.

Since Fund A and Fund B produce an annual interest income of $8,000, then

0.012x+0.062y=8,000.

3. Solve the system of equations:

\left\{\begin{array}{l}x+y=250,000\\0.012x+0.062y=8,000.\end{array}\right.

Express x from first equation x=250,000-y and substitute it into the second equation

0.012(250,000-y)+0.062y=8,000.

Multiply this equation by 1000:

12(250,000-y)+62y=8000,000,\\ \\3000,000-12y+62y=8000,000,\\ \\62y-12y=8000,000-3000,000,\\ \\50y=5000,000,\\ \\y=100,000

Then

x=250,000-100,000=150,000.

Answer: you have to fund $150,000 in Fund A and $100,000 in Fund B.


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2 years ago
Explain Washington's choices regarding the Battle of Trenton and why he needed to make such a tough choice
evablogger [386]

Answer:

They gave Americans confidence that victory over Britain was possible. You are welcome. :)

Step-by-step explanation:

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3 years ago
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Mazyrski [523]

Answer:

i-

ok

Step-by-step explanation:

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2 years ago
Choose the linear inequality that describes the graph. The gray area represents the shaded region.
jek_recluse [69]

Answer:

2x + 3y ≥ 5

Step-by-step explanation:

See the graph attached.

The bold straight line passes through the points (1,1) and (4,-1).

Therefore, the equation of the straight line will be  

\frac{y + 1}{- 1 - 1} = \frac{x - 4}{4 - 1}

⇒ 3(y + 1) = - 2(x - 4)

⇒ 3y + 3 = - 2x + 8

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Now, the shaded region i.e. the solution to the inequality does not include the origin(0,0).

So, putting x = 0 and y = 0 in the equation (1) we get, 0 < 5

Therefore, the inequality equation is 2x + 3y ≥ 5 (Answer)

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3 years ago
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