Answer: y=2x+2
Step-by-step explanation:
slope-intercept form: y=ax+b
----------------------------------------
#1 Find the slope
- Use rise/run to find the slope: 8/4=2
- Use slope formula: (2-(-6))/(0-(-4))=8/4=2
#2 Find the y-intercept
- Given the point (2, 0) it is already the y-intercept which is 2
----------------------------------------
a=2
b=2
y=2x+2
Answer:
f(w) = $100 + $15*w
Step-by-step explanation:
The first $100 she deposited remain always the same, they don't change depending on the weeks. What increases along the weeks are the $15.
In the first week she will deposit $15, so she will have $100 + $15 = $115.
On the second week she will deposit $15 more, so she will have $115 + $15 = $130. Another way of writing this is $100 + $15 + $15 = $100 + $15*2.
On the third week she will have $100 + $15 + $15 + $15 = $100 + $15*3.
Therefore, after w weeks, she will have $100 + $15*w.
The function we are looking for is f(w) = $100 + $15*w
Answer:
x=2 and y=7
Step-by-step explanation:
Step: Solvey=2x+3for y:
y=2x+3
Step: Substitute2x+3foryiny=3x+1:
y=3x+1
2x+3=3x+1
2x+3+−3x=3x+1+−3x(Add -3x to both sides)
−x+3=1
−x+3+−3=1+−3(Add -3 to both sides)
−x=−2
−x
−1
=
−2
−1
(Divide both sides by -1)
x=2
Step: Substitute2forxiny=2x+3:
y=2x+3
y=(2)(2)+3
y=7(Simplify both sides of the equation)
<u><em>Answer:</em></u>
<u>The rule is: </u>
T(x) = 8x + 20
<em><u>Explanation:</u></em>
<u>We are given that:</u>
<u>The rule for the amount that one friend pays is:</u>
C(x) = 2x + 5
<u>Now, we know that:</u>
Each of the four friends will pay the entry fee which is $5 per person
The 4 friends will play the same number of games represented by x
<u>This means that:</u>
We can simply get the rule for the total amount to be paid by the four friends (T(x)) by multiplying the amount paid by each friend by 4
<u>This means that:</u>
T(x) = 4 * C(x)
T(x) = 4(2x + 5)
T(x) = 8x + 20
Hope this helps :)
