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BigorU [14]
3 years ago
11

If Cara works 14 hours, she earns $84. If she works 19 hours, she earns $114. Let y represent the total amount of money that Car

a earns working x number of hours. Model a equation and determine if this is a direction or inverse variation. 20 POINTS!!
Mathematics
1 answer:
seraphim [82]3 years ago
7 0

Answer:

Step-by-step explanation:

14r=84, r=84/14=6, so the hourly rate is $6 an hour so

y(x)=6x

Since this is of the form y/x=k or y=kx it is directly proportional. Inverse proportion is of the form yx=k or y=k/x

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Safara wants to rent a bicycle the graph shows the cost for renting a bicycle for different lengths of time. What is the slope o
enot [183]

The slope of the line will be equal to 30.

Slope of a line may be defined as the steepness of a curve. Slope of line can be positive, negative or zero. Slope of a line is used to determine the equation of the line which is given as y = mx + b where m is the slope, b is y intercept and x and y are independent and dependent variables respectively. The slope of a line on points (x₁, y₁) and (x₂, y₂) is given by the formula, m = y₂ - y₁/x₂ - x₁.

According to the question the value of points is (x₁, y₁) = (0, 0) and (x₂, y₂) = (2, 60).

Now, the slope can be calculated as

m = (60 - 0)/(2 - 0)

=> m = 60/2

=> m = 30 which is the required slope.

Learn more about Slope at:

brainly.com/question/6531433

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4 0
1 year ago
in order to encourage students to show up early to a school dance , the dance comittee decides to charge less for those who come
nadya68 [22]
It would be $2.25 if each student pays one more penny than the last one the penny count would be up to 150 pennies times the number of student which is 150 so multiply and add your decimal
7 0
3 years ago
The combined math and verbal scores for students taking a national standardized examination for college admission, is normally d
kipiarov [429]

Answer:

The minimum score that such a student can obtain and still qualify for admission at the college = 660.1

Step-by-step explanation:

This is a normal distribution problem, for the combined math and verbal scores for students taking a national standardized examination for college admission, the

Mean = μ = 560

Standard deviation = σ = 260

A college requires a student to be in the top 35 % of students taking this test, what is the minimum score that such a student can obtain and still qualify for admission at the college?

Let the minimum score that such a student can obtain and still qualify for admission at the college be x' and its z-score be z'.

P(x > x') = P(z > z') = 35% = 0.35

P(z > z') = 1 - P(z ≤ z') = 0.35

P(z ≤ z') = 1 - 0.35 = 0.65

Using the normal distribution table,

z' = 0.385

we then convert this z-score back to a combined math and verbal scores.

The z-score for any value is the value minus the mean then divided by the standard deviation.

z' = (x' - μ)/σ

0.385 = (x' - 560)/260

x' = (0.385×260) + 560 = 660.1

Hope this Helps!!!

8 0
3 years ago
How long* sorry! Happy December 1st!!!
Sphinxa [80]

today is December 1

7 0
3 years ago
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A vehicle purchased for $20700 depreciates at a constant rate of 5% . Determine the approximate value of the vehicle 10 years af
SVEN [57.7K]

Answer:

I believe it is 12,393.86

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3 years ago
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