What is y-intercept of the graph
1 answer:
Answer:
1a. y-intercept: 12
1b. slope: -3/2
1c. equation: y = -3/2x +12
2a. y-intercept: -9
2b. slope: 2
2c. equation: y = 2x -9
Step-by-step explanation:
<h3>1.</h3>A) We observe the pattern to be <em>x-values in the table increase by 2, while y-values in the table decrease by 3</em>. We notice the first x-value is 2, so extending the table upward to x=0 would tell us the y-intercept. That is, adding 3 to the first y-value will give the y-intercept as (x, y) = (0, 12).
B) We have already observed that the "rise" (change in y) is -3 for each "run" (change in x) of 2. The slope is the ratio of these changes:
slope = m = rise/run = -3/2
C) From the above, we know that m=-3/2 and b=12. Putting these values into the equation for the line gives ...
y = -3/2x +12
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<h3>2.</h3>A) We observe the pattern to be <em>y-values increase by 2 while x-values increase by 1</em>. As before, we can find the point that would go before the first one shown in the table. It will have an x-value of 0 and a y-value of -9.
the y-intercept is -9
the slope is 2/1 = 2
the equation is y = 2x -9
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Answer:
Monthly payments=$418.14
Total amount will be=down payment + 48×$418.14
$14000+$20070.84=$34070.84
Step-by-step explanation:
Loan payment per month=Amount to pay÷discount factor
Mathematically P=A÷D
where D is the discount factor calculated using the formula;
where i=periodic interest rate=annual rate divided by number of payment periods
A is the amount to pay after downpayment
P is the loan monthly payment amount
n=number of periodic payments=payments per year times number of years
⇒In this question you find the discount factor then divide the amount remaining to pay with the discount factor to get monthly payments
Given;
Cost of boat=$32000
Down payment=$14000
Loan to pay=$32000-$14000=$18000
Annual rate=5.5%=i=5.5%÷12=0.458%⇒0.00458
Periodic payments, n=4×12=48
Finding the discount factor D;
To get the amount to pay monthly divide the loan to pay with the discount factor
Monthly payments=$418.14
Total amount will be=down payment + 48×$418.14
$14000+$20070.84=$34070.84