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Allushta [10]
3 years ago
9

The table shows the values of y for each value of x. x y 2 1 3 1 4 -3 3 -3 Part A: Does the table represent a relation that is a

function? Justify your answer by using the values shown in the table. (4 points) Part B: The function f(h) shown below represents Kylie's total earning from working in a cafe for h hours of work. f(h) = 15h + 5 Calculate and interpret the meaning of f(8)? Part C: Write an ordered pair to represent the input and output of the function in Part B when Kylie works for r hours.
Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
7 0
Part A:

The given values in form of ordered pairs are:
(2,1), (3,1), (4,-3), (3,-3)

A relation can be a function if one value of x is paired with exactly one value of y. In this case, x value of 3 is paired with two y values 1 and -3. So this relation is not a function.

Part B:

f(h) = 15h + 5
f(8) can be found by substituting h=8 in above equation. 
So,
f(8) = 15(8) + 5 = 125
h represents the number of hours and f(h) represents the earnings of Kylie. So f(8) shows that Kylie earned $125 from 8 hours of work in the cafe

Part C:

For r hours of work, we can write:
f(r) = 15r + 5
So, the ordered pair can represent this relation as:
(r, f(r))
or
(r, 15r+5)
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Ken has an investment account which compounds interest continuously at a rate of 3.4%. After 4 years, he has $4400 in the accoun
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$6617

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Use the formula for calculating compound interest A=P0ert where A is the unknown, P0=4400, r=0.034, and t=12. Substitute the values into the formula and simplify.

A=4400e0.034⋅12

A=4400e0.408

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After 12 years, there will be A≈6617 in the account, rounded to the nearest dollar.

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3 years ago
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Answer:

A

Step-by-step explanation:

first lets find the area of the square

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then lets find the are of the circle

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the diameter of the circle is 12m

A=3.14*(12/2)^2

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5 0
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Write the expression in factored form s^2-20s-100
KatRina [158]

Answer:

The factors of given expression are 10+10√2 and 10-10√2.

Step-by-step explanation:

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s²-20s-100

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We use quadratic formula to find factors.

x = (-b±√b²-4ac) / 2a

From given expression, a = 1 , b = -20 and c = -100

Putting values in above formula, we have

x = (-(-20)±√(-20)²-4(1)(-100) ) / 2(1)

x = (20±√400+400 ) / 2

x = (20±√800) /  2

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3 0
3 years ago
HELPP
Harrizon [31]

Answer:

Step-by-step explanation:

Alright, lets get started.

Lets find slope for both bikes one by one

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There are two points on the graph of Bike 1, these two points are (2,3) and (4,6)

So the slope for bike 1 is : \frac{y_{2}-y_{1} }{x_{2}-x_{1} }

So the slope for bike 1 is : \frac{6-3}{4-2}

So the slope for bike 1 is : \frac{3}{2}

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So the slope for bike 2 is : \frac{10-5}{8-4}=\frac{5}{4}

Hence Bike 1 will win the race as slope of line bike1 is greater than slope of line bike 2.  So, answer is option D


3 0
3 years ago
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