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Readme [11.4K]
3 years ago
11

Stu wants to join a gym. Fit-Place charges a $135 startup fee and then $35 per month. The Factory has no startup fee but charges

$60 per month. Create a table showing the total cost for the first 8 months. Determine the month at which the total cost is the same.
Mathematics
2 answers:
Fynjy0 [20]3 years ago
5 0

Answer:

Fit-Place charges a $135 startup fee and then $35 per month.

Means the cost here will be based on the equation : 135+35x where x is the number of months.

The Factory has no startup fee but charges $60 per month. Here the equation will be 60x, where x is the number of months.

<u>Table ;</u>

Months              1          2          3        4         5        6          7        8

Fit-Place          170      205     240     275     310     345    380   415

The Factory     60      120        180     240    300    360   420    480

The total cost will be same in:

60x=135+35x

=> 60x-35x=135

=> 25x=135

x = 5.4 rounded to 5 months.

Now we can see that the total cost will be same in almost 5 months.

antiseptic1488 [7]3 years ago
3 0

I don't know the answer use a calculater

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WILL MARK BRAINLIEST, PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER!!!
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Answer:
y=1/6x-6

Explanation:
What we know:
- Equation for line S: y=-6x+2
- Line T is perpendicular to line S
- Line T passes through the point (-6,-7)

To find the answer, we would need to understand two things, the first being what exactly is going on with the equation: y=-6x+2.

It’s organized in slope-intercept form, which is y=mx+b. Here’s what the variables mean:

Y=the y variable
M=the slope
X=the x variable
B=the y-intercept (the point on the line that crosses the y axis)

Knowing this, we can look at the equation for line S again: y=-6x+2. -6 is the slope of line S and 2 is the y-intercept of line S.

The second thing we need to understand is that the slope of a second line that is perpendicular to the first line is equal to the NEGATIVE RECIPROCAL of the slope of the first line.

Reciprocal: the “flip” of a fraction where the denominator and the numerator switch places

So, for example, let’s say the slope of line A=6. The slope of the line perpendicular to line A would be -1/6.

Let’s try another example: the slope of line B=-4/5. The slope of the line perpendicular to line B would be 5/4 (because two negatives makes a positive)

And here, for your question, the slope of line S=-6. Therefore, the slope of line T would be 1/6.

Awesome! We found the slope, which means so far, the equation of line T looks like this:

y=1/6x+b

All we need now is the y-intercept, which is “b” in the equation y=mx+b.

To do this, we plug in the point that the question provided us, (-6,-7), and solve. We would plug in -7 as the y variable and -6 as the x variable.

y=1/6x+b
-7=1/6(-6)+b
1) multiply 1/6 and -6
-7=-1+b
2) add 1 to both sides of the equation to isolate b
-6=b

Aha! There we have it, -6 is the y-intercept of line T.

Now, we have completed our equation:

y=1/6x-6

I hope this helps! Please comment if you have any questions.
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