Slope-intercept form: y = mx + b (m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y))
To find the slope(m), you can use the slope formula and plug in 2 points:
(x₁ , y₁) = (0, 2)
(x₂ , y₂) = (4, 5)
[slope is also 
"rise" is the number of units you go up(+ number) or down(negative number). "run" is the number of units you go to the right. If your slope for example is 2, you go up 2 units and to the right 1 unit. If your slope is -2, you go down 2 units and to the right 1 unit.]
^ you could just look at the graph and see how many units a point goes up or down and to the right to get to the next point (goes up 3, to the right 4)
To find b, plug in either of the 2 points into the equaation
(0,2)
2 = b
Am very bad at explaining things but the answer is 8
Answer:
f(10)=342
Step-by-step explanation:
f(10)= 3(10)^2+6(10)-18
complete your exponet first and multiply 6(10)
f(10)=3(100)+60-18
multiply the 3(100)
f(10)=300+60-18
add and subtract all the numbers together
f(10)=342
<h2>
Answer:</h2><h2>(i) Total expenses = $ 300</h2><h2>(ii) Net income(savings) = $ 0</h2>
Step-by-step explanation:
Total income earned by Sam = $ 300
(i) Expense calculation,
Clothes expense = 30 % = 30 % (300) = $ 90
Food and snacks expense = 23 % = 23 % (300) = $ 69
Cell phone expense = 14% = 14% (300) = $ 42
Transportation expense = 10% = 10% (300) = $ 30
Gym expense = 10% = $ 30
Movies expense = 8% = 8% (300) = $ 24
Apps expense = 5% = 5% (300) = $ 15
Total expenses = (90 + 69 + 42 + 30 + 30 + 24 + 15) = $ 300
(ii) Sam's net income is the profir earned after his expense.
Net income = 300 - 300 = $ 0
<h2>Answer</h2>
f(x) = 5(1.25)x + 4
<h2>Explanation</h2>
To solve this, we are going to use the standard exponential equation:
where
is the initial amount
is the growth rate in decimal form
is the time (in months for our case)
Since the hours of classic music remain constant, we just need to add them at the end. We know form our problem that Sue initially has 5 hours of pop, so 
; we also know that every month onward, the hours of pop music in her collection is 25% more than what she had the previous month, so 
. Now let's replace the values in our function:
Now we can add the hours of classical music to complete our function:
