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From 1983 to 2008, the number of federally insured banks could be approximated by
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How many federally insured banks were there in 1988 ? where is the year and corresponds to 1983 .

Interpret the slope as a rate of change. The slope is decreasing
per year.

Ask by Todd Christensen. in the United States

Mar 22,2025

Question

Score on last try: 0,45 of 1 pts. See Details for more.
At least one scored part is incorrect. Jump to first chángable incorrect part.
From 1983 to 2008, the number of federally insured banks could be approximated by
Get a similar question You can retry this question below
How many federally insured banks were there in 1988 ? where is the year and corresponds to 1983 .

Interpret the slope as a rate of change. The slope is decreasing
per year.

Ask by Todd Christensen. in the United States

Mar 22,2025

UpStudy AI · Accepted Answer

To find the number of federally insured banks in 1988 using the given function $$ B(t) = 327.6t + 13780 $$, we first need to determine the value of $$ t $$ for the year 1988.

Since $$ t = 0 $$ corresponds to 1983, we can calculate $$ t $$ for 1988 as follows:

$$
t = 1988 - 1983 = 5
$$

Now, we can substitute $$ t = 5 $$ into the function $$ B(t) $$ to find the number of banks in 1988:

$$
B(5) = 327.6(5) + 13780
$$

Let's calculate this step by step. First, we will calculate $$ 327.6 \times 5 $$ and then add $$ 13780 $$.
Numbers by following steps:
- step0: Solution:
  $$13780$$
Calculate or simplify the expression $$ 327.6*5 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$327.6\times 5$$
- step1: Multiply the numbers:
  $$1638$$
Now we have the calculations:

1. $$ 327.6 \times 5 = 1638 $$
2. $$ 13780 $$

Next, we add these two results together to find $$ B(5) $$:

$$
B(5) = 1638 + 13780
$$

Let's calculate this sum.
Calculate the value by following steps:
- step0: Calculate:
  $$1638+13780$$
- step1: Add the numbers:
  $$15418$$
The total number of federally insured banks in 1988 is:

$$
B(5) = 1638 + 13780 = 15418
$$

So, there were **15,418** federally insured banks in 1988.

### Interpretation of the Slope
The slope of the function $$ B(t) = 327.6t + 13780 $$ is $$ 327.6 $$. This means that the number of federally insured banks is increasing at a rate of approximately **327.6 banks per year**.

If you mentioned that "the slope is decreasing," it seems there might be a misunderstanding. The slope here indicates an increase, not a decrease.
In 1988, there were 15,418 federally insured banks. The number of banks is increasing by about 327.6 each year.

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