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postnew [5]
2 years ago
5

Which equation represents the data shown in the table below?

Mathematics
1 answer:
Lorico [155]2 years ago
3 0

Answer:

y = -2x + 7

Step-by-step explanation:

The equation of a line could be represented as original form:

y = ax + b

Let's pick the first 2 pairs of numbers in the table: (x, y) = (1, 5) and (x, y) = (2, 3).

=> 5 = a*1 + b

    3 = a*2 + b

Subtract the 1st equation from the 2nd equation, we have:

-2 = (2a - a) + (b - b)

or

-2 = a

Substitute a = -2 into the 1st equation, we have:

5 = (-2)*1 + b

or

5 = -2 + b

or

b = 2 + 5 = 7

=> Substitute a = -2 and b = 7 into original form, the equation that represents the data shown in the table is:

y = -2x + 7

Hope this helps!

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Quiana took out a loan to pay for a new car initially she owed the lender 15,234.68. she has repaid 247.43 of the loan each mont
mario62 [17]

Given Information:

Initial amount of loan = $15,234.68

Monthly payment = $247.43

Number of months = 5

Required Information:

Net change in loan = ?

Answer:

Net change in loan = $1,237.15 = $1,237(3/20)

Step-by-step explanation:

Quiana owed her lender an amount of 15,234.68 initially, she repaid the lender each month with an amount of $247.43 for 5 months, so the total amount that she repaid is

Total amount repaid = Monthly payment*Number of months

Total amount repaid = $247.43 × 5

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The remaining owed amount is given by

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So the net change to the loan from Quiana's perspective over the past 5 months is,

Net change in loan = Initial amount of loan - Balance

Net change in loan = $15,234.68 - $13,997.53

Net change in loan = $1,237.15

or

Net change in loan = $1,237(3/20)

Therefore, the net change to the loan from Quiana's perspective over the past 5 months is $1,237.15

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