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Oksanka [162]
3 years ago
11

A limousine company charges a flat fee of $35 plus $2 per mile to ride a limousine. Write an equation in slope intercept-form wh

ere x, represents each mile and y, represents the total cost of the ride.
**This is due in 20 minutes!! Please HELP.**
Mathematics
1 answer:
Anna35 [415]3 years ago
5 0

Answer:

y=2x+35

Step-by-step explanation:

so y is what it's equal too so you put y=

then since its $2 every mile you put them next to eachother like

2x so y=2x

then there is just a plain fee of $35 so you add that to the equation which is what makes it look like

y=2x+35

Hope this helps!! :D

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The common difference in an arithmetic sequence is –2 and the first term is 47. What is the 29th term?
BlackZzzverrR [31]

An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).

The equation for an arithmetic sequence is
A_{n}=A_{1}+(n-1)d

A_{n} is the "n-th" number in the sequence (ex:  is the first term in the sequence)
d is the number you add (common difference) to find the next number
The first number in the sequence is 47 so A_{1}=47
<span>d=-2 because the question gives you that
</span>
A_{n}=A_{1}+(n-1)d
<span>A_{29}=47+(29-1)(-2)
</span><span>A_{29}=47+(28)(-2)
</span><span>A_{29}=47+-56
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</span>
The answer is A. -9.

<u>                                                       </u>

<span>The answer is C. 158</span>

For the second one, it gives you A_{1}=4 and <span>A_{}=18
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</span><span>A_{n}=A_{1}+(n-1)d
</span><span>A_{3}=4+(3-1)d
</span><span>18=4+(3-1)d
</span><span>18=4+2d
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</span><span>7=d
</span>
Now you can just solve using the equation normally.
<span>A_{n}=A_{1}+(n-1)d
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</span><span>A_{23}=4+(22)(7)
</span><span>A_{23}=4+154
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</span>
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3 years ago
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200 feet in 5 minutes
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A manufacturing plant earned $80 per man-hour of labor when it opened. Each year, the plant earns an additional 5% per man-hour.
baherus [9]

A function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(\mathrm{t})=80 \times 1.05^{\mathrm{t}}

<h3><u>Solution:</u></h3>

Given that  

A manufacturing plant earned $80 per man-hour of labor when it opened.

Each year, the plant earns an additional 5% per man-hour.

Need to write a function that gives the amount A(t) that the plant earns per man-hour t years after it opens.  

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Amount earned by plant after two years is given as:

=(80 \times 1.05)+5 \% \text { of }(80 \times 1.05)=(80 \times 1.05)(1.05)=80 \times 1.052

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