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finlep [7]
4 years ago
5

The dollar amount (d) that erin earns varies directly as the number of hours (t) that she works. if she earns $206.25 in 25 hour

s, how many hours did she work if she earned $264?
Mathematics
1 answer:
Liono4ka [1.6K]4 years ago
7 0
D=t*m
d=dollar amount
t=hours
m=how much she earns per hour

Plug in the first set of numbers
$206.25=(25hr)*m
the amount she earns per hour is
$206.25/25hr = m = $8.25 per hr

So

$264=t*$8.25
264/8.25 = t
t = 32 hr




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S = (-5,0)

T = (2,1)

Step-by-step explanation:

Step 1 :

Given

Q = (3,6) and R = (-4,5). P = (-1,3)

Let S be (a,b) and T be (c,d)

The diagonals of a parallelogram bisect each other. so in order to ensure that QRST is a parallelogram, P must be the mid point of the diagonals QS and RT.

Step 2 :

P is the midpoint  of QS

So we have (3+a) ÷ 2 =  -1  and (6 + b) ÷ 2 = 3

=> 3 + a = -2    and 6 + b = 6

=> a = -5  and b =0

So S should be (-5,0)

Step 3 :

P is the midpoint  of RT

So we have (-4+c) ÷ 2 =  -1  and (5 + d) ÷ 2 = 3

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Step 4 :

Answer :

S = (-5,0)

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Answer:

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And for 0 miles if we use the model we got:

y(0)= 3.53*0 +37.92 = 37.92

But for this case. No is not reasonable for a representative to travel o miles and have a positive amount of sales.

Step-by-step explanation:

For this case we assume the following data:

Miles traveled (X): 2,3,10,7,8,15,3,1,11

Sales (Y): 31,33,78,62,65,61,48,55,120

We want to found a linear model like this one : y = mx+b. Where:

m=\frac{S_{xy}}{S_{xx}}  

Where:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33  

And the slope would be:  

m=\frac{642.33}{182}=3.529  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.667  

\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.444  

And we can find the intercept using this:  

b=\bar y -m \bar x=61.444-(3.529*6.667)=37.917  

So the line would be given by:  

y=3.53 x +37.92  

And for 0 miles if we use the model we got:

y(0)= 3.53*0 +37.92 = 37.92

But for this case. No is not reasonable for a representative to travel o miles and have a positive amount of sales.

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