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Sedbober [7]
3 years ago
5

Zachary purchased a computer for 1800 on a payment plan. Three months after he purchased the computer, his balance was 1350. Fiv

e months after he purchased the computer, his balance was 1050. What is an equation that models the balance b after m months. What does the slope signify is zacharys equation?
Mathematics
2 answers:
Yuliya22 [10]3 years ago
7 0

If we notice, the decrease in payment after 3 and 5 months, it is a multiple of 150.

So, the equation that models balance b after m months is:

b = 1800 - 150m

Here, - 150 is the slope and it indicates the amount being decreased every month.

Marrrta [24]3 years ago
3 0

Answer:

balance (b) = 1800 - 150m, where "m" is the number of months.

Step-by-step explanation:

Zachary purchased a computer for 1800 on a payment plan.

After 3 months, his balance = 1350

Reduced amount = 1800 - 1350 = 450

So, 1 month payment = 450 ÷ 3 = 150

After 5 months, his balance = 1050

The reduced amount = 1800 - 1050 = 750

So, 1 month payment = 750 ÷ 5 = 150

Therefore, the rate of change = -150. It is negative because the amount getting reduced.

Therefore, the model is

balance (b) = 1800 - 150m, where "m" is the number of months.

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