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LekaFEV [45]
3 years ago
12

Peyton borrowed some money from her friend in order to help buy a new video game system and agreed to pay the friend back a cons

tant amount each week. Peyton originally borrowed $200 from her friend and after 4 weeks, she still owed her friend $100. Write an equation for the function L(t),L(t), representing the amount Peyton owes her friend after tt weeks.
Mathematics
1 answer:
netineya [11]3 years ago
8 0

Answer:

y=200-25x

Step-by-step explanation:

According to the problem, the initial condition is $200. If he owed $100 after 4 weeks, that means he paid $25 per week, so that would be the constant ratio. Therefore, the expression would be:

y=200-25x

Where y represents the amount owed, and x represents weeks.

So, in the 4 week, that is, x=4 he owed:

y=200-25(4)=200-100=100

As you can observe, the relation we found first perfectly to the problem. So, the final expression that model this problem is

y=200-25x

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marin [14]

Answer: 9−27

Step-by-step explanation:

4 0
3 years ago
3w-13w= -20???????????
Akimi4 [234]
3w-13w=-20

Combine like terms

-10w=-20

divide both sides by -10

w=2
5 0
2 years ago
Steve opens a bank account. The amount, in dollars, in the account x weeks after the account is opened can be modeled by functio
ANTONII [103]

The missing options are:

A.\ f(20) =5,000

B.\ f(5000) = 20

C. In the xy plane, point (20, 5,000) is on the graph y = f(x).

D. In the xy plane, point (5,000,20) is on the graph y = f(x)

Answer:

A.\ f(20) =5,000

C. In the xy plane, point (20, 5,000) is on the graph y = f(x).

Step-by-step explanation:

Given

Represent amount with y and weeks with x

So, we have:

x = 20 when y = 5000

Required

Select 2 correct options

A point on a graph can be illustrated using  (x,y)

So, when x = 20 and y = 5000 ----- given

(x,y) implies that:

(x,y) = (20,5000)

We got (20,5000) by substituting 20 for x and 5000 for y

<em />

<em>From the list of given options, the above represented of (x,y) is illustrated in option C</em>

Represent (x,y) as a function, we have:

y = f(x)

Substitute values for x and y

5000 = f(20)

Reorder

f(20) = 5000

<em></em>

The above is illustrated in option A

<em>Hence, A and C answers the question</em>

3 0
3 years ago
14k²+49k+21 factorise<br>​
irina [24]

Answer:

(2k+1)(k+3)

Step-by-step explanation:

14k²+49k+21

simplify by dividing the whole equation by 7

2k²+7k+3

factorise

(2k+1)(k+3)

6 0
3 years ago
The figure shown is an equilateral triangle. Calculate the length of each side and give your answer in cm.
cricket20 [7]
Given at you have an equilateral triangle, all sides have the same length.

Therefore,
First side 2x-7 = Second side x+y-9 = Third side y+5

Let us look at the second and third sides for now:
x+y-9 = y+5
x = y+5 - (y-9)
x = y-y+5+9
x = 14

Then we look at equating the first and third sides:
2x-7 = y+5
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Substitute x =14 in the equation above:
y = 2(14)-7-5
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The length of the third side is:
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Given that the length of each sides are the same in an equilateral triangle, all sides have the length 21cm.
4 0
3 years ago
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