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blsea [12.9K]
3 years ago
14

Juan recently entered into a contract for a cell phone plan. The table shows the monthly cost in dollars, f(x), if Juan sends x

text messages.
What type of function is represented?

linear
quadratic
logarithmic
exponential
Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0

Answer:

A linear function is represented

Step-by-step explanation:

The table is:

x   f(x)

0   10.00

1    10.02

2   10.04

3   10.06

4   10.08

5   10.10

If we compute the difference between two consecutive function values and we divide it by the difference between their associated x values we get:

(10.02 - 10.00)/(1-0) = 0.02

(10.04 - 10.02)/(2-1) = 0.02

(10.06 - 10.04)/(3-2) = 0.02

(10.08 - 10.06)/(4-3) = 0.02

(10.10 - 10.08)/(5-4) = 0.02

This constant result indicates that a linear function is represented.

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Fraction is equivalent to a terminating decimal
11111nata11111 [884]
The best way to compare fractions would be to make them have like denominators.  We first , in this case, need to convert from decimal to fraction. 

                 Converting decimals to fractions first requires an understanding of the decimal places that fall after the decimal.  One place after the decimal is the tenths place.  If you have a decimal that ends at one place after the decimal (or in the tenths place) it can be written as the number after the decimal in the top of the fraction and ten (tenths place) in the denominator.  ex.   .5 ends one place after the decimal and can be written as 5/10...(read as five tenths).

If a decimal ends at two places after the decimal...(ex.   .75)...it ends in the hundredths place, can be written as that number in the numerator and 100 in the denominator....(ex  75/100) and is read as seventy-five hundredths. 

one place after the decimal is tenths (over 10), two places is hundredths (over 100), three places is thousandths (over 1000) , four places ten-thousandths (over 10000) and so on.

Because each decimal in your problem has a different amount of decimal places, it makes for different denominators. But, We can add a zero to the end of a decimal without changing it's value; if we add a zero to the end of .5 and make it .50 , we then can write it as 50/100 and would now have like denominators.

if .5 = .50 = 50/100 and .75 = 75/100

we now have the question what fractions can fall between 50/100 and 75/100. 

That would be fractions such as 51/100, 52/100, 53/100.......74/100.


6 0
3 years ago
Please help if you can :)
VikaD [51]

the domain of the function graphed above of

F,IF,B,5

Answer: 909.0

7 0
3 years ago
If the cost to the store is $20 and the selling price is $32 what is the markup?
nata0808 [166]

Answer:

60%

Step-by-step explanation:

It went up 12 dollars, and you need to find how much 12 is of 20 as a percent. You do 12/20 times 5/5 and get 60/100, so 60% markup

5 0
3 years ago
Read 2 more answers
One month Lisa rented 2 movies and 3 video games for a total of $26. The next month she rented 6 movies and 5 video games for a
xxMikexx [17]

Answer:rental cost for movie $5.50 rental cost for video game $5.00

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A child walks due east on the deck of a ship at 3 miles perhour.
VladimirAG [237]

Answer:

16.28 mph ; 79.38°

Step-by-step explanation:

Given the following :

Speed of child due east = 3mph

Speed of ship due North = 16mph

Relative speed of th child is obtained by using Pythagoras rule to find the hypotenus

Relative Speed = Sqrt(3² + 16²)

Relative Speed = sqrt(9 + 256)

= sqrt(265)

= 16.2788 mph

= 16.28 mph

From trigonometry ;

Tanθ = opposite / Adjacent

Tanθ = (16 / 3)

Tanθ = 5.333

θ = tan^-1(5.333)

θ = 79.379°

θ = 79.38°

6 0
4 years ago
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