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nirvana33 [79]
2 years ago
13

A cafeteria worker is wondering how student lunch prices at a high school have changed over time. She researches lunch prices fo

r the years 2000 through 2015 and plots the data in a scatter plot. The best-fit line for the data has the equation y = 0.057x + 1.150, where x is the number of years since 2000 and y is the student lunch price, in dollars.
Determine whether each statement below is true or false based on the equation of the line of best fit. Select True or False for each statement:

The student lunch price was generally increasing between 2000 and 2015

The student lunch price changed by approximately 5.7 cents per year.

The student lunch price in 2015 was approximately $1.15​
Mathematics
1 answer:
sergij07 [2.7K]2 years ago
6 0
First: true
second:false
third:false
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At Al's Athletic Club, the monthly membership fee for a student is $25 and the monthly
Igoryamba

Answer:

The relationship ⇒ <u>25x + 40y = 12,250</u>

Step-by-step explanation:

The number of student memberships = x

The number of adult memberships = y

The monthly membership fee for a student = $25

The monthly membership fee for an adult = $40

The total fee = 25x + 40y

Al's Athletic Club receives $12,250 in membership fees for the month of January.

So, the relationship between x and y is:

<u>25x + 40y = 12,250</u>

5 0
3 years ago
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babunello [35]

Answer:

10.75

Step-by-step explanation:

The cost of an adult ticket is £6 more than that of a child ticket, so will be shown by c+6.

Now, we are told that the cost of four child tickets and two adult tickets is £40.50, so we can put this in an equation and solve for c:

(c+6)+(c+6)+c+c+c+c=40.50

6c+12=40.50

6c=28.50

c=4.75

so, a childs ticket is 4.75

now to find the cost of an adult ticket you add 6,

4.75 + 6

= 10.75

3 0
2 years ago
drew 's tree company delivered pear tree in groups of 4.yesterday the company delivered 8 groups of pears trees how many pear tr
lina2011 [118]
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4 × 8 = 32

5 0
3 years ago
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Algebraic fractions<br> x² + 5x+4 /<br> x²+ 4x + 3
Tresset [83]

Answer:

\frac{x+4}{x+3}

Step-by-step explanation:

Given

\frac{x^2+5x + 4}{x^2+4x+3} ← factor numerator and denominator

= \frac{(x+1)(x+4)}{(x+1)(x+3)} ← cancel common factor (x + 1) on numerator/ denominator

= \frac{x+4}{x+3}

8 0
3 years ago
Find the sixth term of the sequence 1/2, -3/8, 9/32
sukhopar [10]

Answer:

The sixth term is -243/2048 ⇒ answer B

Step-by-step explanation:

* Lets explain the geometric sequence

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)  

* General term (nth term) of a Geometric sequence:

# U1 = a  ,  U2  = ar  ,  U3  = ar²  ,  U4 = ar³  ,  U5 = ar^4

# Un = ar^(n-1), where a is the first term , r is the constant ratio

  between each two consecutive terms  and n is the position of the

  number in the sequence

- Ex: U5 = ar^4  ,  U7 = ar^6  ,  U10 = ar^9  ,  U12 = ar^11

- Lets solve the problem

∵ The sequence is 1/2 , -3/8 , 9/32

- Lets find the constant ratio r

∵ The first term is a = 1/2

∵ The second term is U2 = ar

∵ The second term  U2 = -3/8

∴ ar = -3/8

∴ 1/2 r = -3/8 ⇒ multiply both sides by 2

∴ r = -3/4

- Lets find the sixth term

∵ a = 1/2 and r = -3/4

∵ n = 6

∴ U6 = ar^5

∴ U6 = 1/2 (-3/4)^5 = 1/2 × -243/1024 = -243/2048

* The sixth term is -243/2048

8 0
3 years ago
Read 2 more answers
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