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tangare [24]
3 years ago
5

The cost of renting an apartment can be modeled by the function C(m)=900m+1400, where C(m) is the cost in dollars for m months o

f living in the apartment. State the meaning of the slope and y-intercept of this function with respect to the costs associated with renting the apartment.
Mathematics
1 answer:
Ahat [919]3 years ago
5 0

Answer:

On the context of the problem, the slope means the total paid for every month that the apartment is rented, 900 per month in this case, while the y-intercept means the initial cost for renting the apartment, 1400 upfront in this case.

Step-by-step explanation:

This function is linear, which means that it increases at a steady rate and has the following form:

y(x) = a*x + b

Where "a" is the slope or the rate at which "y" changes for every change in "x". While "b" is the number at which the function crosses the "y" axis.

On the context of the problem, the slope means the total paid for every month that the apartment is rented, 900 per month in this case, while the y-intercept means the initial cost for renting the apartment, 1400 upfront in this case.

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7m + 3mn when m = 8 and n = 14
Kazeer [188]

Answer:

392

Step-by-step explanation:

m = 8 and n = 14

Substituting the values of m and n in the question, we get :

7m + 3mn

=( 7 x 8) +(3 x 8 x 14)

= 56 + 336

= 392

8 0
3 years ago
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If a teacher brings 3 gallons of juce on a feild trip for 36 students how many fluid ounces did she bring
Elza [17]
If there are 128 fluid ounces per US gallon, and there are 3 gallons, 3x128=384. The teacher brought 384 fluid ounces of juice on the feild trip.
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Can someone please tell me why I got this wrong?
kvasek [131]
We have 
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using a graph tool
see the attached figure

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8 0
2 years ago
Suppose a normal distribution has a mean of 222 and a standard deviation of 16. What is the probability that a data value is bet
valentina_108 [34]
Mean of the distribution = u = 222
Standard Deviation = s = 16

We have to find the probability that a value lies between 190 and 230.

First we need to convert these data values to z score.

z= \frac{x-u}{s}

For x = 190, 
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For x = 230
z= \frac{230-222}{16}=0.5

So, we have to find the percentage of values lying between z score of -2 and 0.5

P( -2 < z < 0.5) = P(0.5) - P(-2)

From standard z table, we can find and use these values.

P(-2 < x < 0.5 ) = 0.6915 - 0.0228 = 0.6687

Thus, there is 0.6887 probability that the data value will lie between 190 and 230 for the given distribution. 

5 0
3 years ago
What is the constant of variation for the quadratic variation? x=2,3,4,5,6 y= 32,72,128,200,288
Bad White [126]
Hello,
y=a*x² ==>
32=a*2²==>a=32/4=8
72=a*3²==>a=72/9=8
128=a*4²==>a=128/16=8
200=a*5²==>a=200/25=8
288=a*6²==>a=288/36=8

Answer A: 8

7 0
3 years ago
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