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zvonat
2 months ago
15

a video game arcade offers a yearly membership with reduced rates for game play. A single membership costs $60 per year. Game to

kens can be purchased by members at the reduced rate of $1.00 per 10 tokens. Which statements represent the function of the yearly cost in dollars, y, based on x, the number of game tokens purchased for a member of the arcade? Check all that apply. The slope of the function is $1.00. The y-intercept of the function is $60. The function can be represented by the equation y = x + 60. The domain is all real numbers. The range is {y| y ≥ 6
Mathematics
2 answers:
PIT_PIT [12.4K]2 months ago
6 0

The slope equals $0.10        (since $1.00 per 10 tokens translates to $0.10 per token)

The y-intercept is $60    (the fixed yearly membership fee)

The linear equation is y = 0.10x + 60    (following y = mx + b)  

The domain consists of all x values where x ≥ 0        (negative token quantities are impossible)

The range includes all y values with y ≥ 60        (plugging the domain values into the function)

The y-intercept of this function stands at $60

lawyer [12.5K]2 months ago
4 0

Answer:

The correct options are b, c, and e.

Explanation:

I just completed the test.

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Answer: 5 Cans

Step-by-step explanation:

4 0
1 month ago
The perimeter of a rectangle is 202. The length is 26 more than 4 times the width. Find the dimensions
Inessa [12570]

Answer:

P = 2*(26+4y) + 4y

Upon solving for y, we find:

202= 52 +8y +4y

202= 52 +12 y

By substitution, we have:

150 = 12y

Thus, we arrive at:

y = \frac{150}{12}= 12.5

And for x, we determine:

x = 26 +4*12.5 = 76

This gives us a length of 76 and a width of 12.5.

Step-by-step explanation:

We are dealing with a rectangle. The formula for the perimeter is:

P= 2x+2y

Here, x denotes the length and y the width. The following conditions can be established:

x = 26 +4y

Substituting these values yields:

P = 2*(26+4y) + 4y

When we solve for y, we find:

202= 52 +8y +4y

202= 52 +12 y

By substitution, we obtain:

150 = 12y

Thus, we conclude:

y = \frac{150}{12}= 12.5

The length is found to be 76, while the width measures 12.5.

6 0
1 month ago
Arnold borrowed $7890 at 11.5 percent for five years. How much did Arnold pay in interest?
lawyer [12517]
The result I obtained is 937.5.
5 0
2 months ago
Read 2 more answers
If you ask three strangers about their birthdays, what is the probability:
Inessa [12570]
Part A:

The probability that all three strangers have their birthdays on a Wednesday is calculated as

\left( \frac{1}{7} \right)^3= \bold{\frac{1}{343}}



Part B:

The probability that the birthdays of the three individuals fall on distinct days throughout the week is calculated as

\left( \frac{1}{7} \right)\left( \frac{1}{6} \right)\left( \frac{1}{5} \right)= \bold{\frac{1}{210}}



Part C:

The probability that none of the three have their birthdays on a Saturday is determined by

\left( \frac{6}{7} \right)^3= \bold{\frac{216}{343}}
8 0
26 days ago
Line QR goes through points Q(0,1) and R(2,7). Which equation represents line QR ?
tester [12383]
(0,1)(2,7)
Calculating the slope (m) gives: (7-1) / (2-0) = 6/2 = 3

The equation is represented as y = mx + b
where the slope (m) equals 3
Utilizing either of your coordinates... (0,1).... this implies x = 0 and y = 1
Substituting to solve for b, the y-intercept
1 = 3(0) + b
which simplifies to 1 = b

Thus, the equation you seek is: y = 3x + 1....or 3x - y = -1
6 0
29 days ago
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