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------------------------------------------------ Which expression has an estimated product of [tex]$45$[/tex]?

A. [tex]44.7 \times 2.1[/tex]
B. [tex]7.5 \times 8.4[/tex]
C. [tex]8.7 \times 5.28[/tex]
D. [tex]38.1 \times 7.3[/tex]

To find out which expression has an estimated product of $45, let's take a look at the expressions one by one and their products:

1. [tex]$ 44.7 \times 2.1 $[/tex]
- The product is [tex]$ 93.87 $[/tex].

2. [tex]$ 7.5 \times 8.4 $[/tex]
- The product is [tex]$ 63.0 $[/tex].

3. [tex]$ 8.7 \times 5.28 $[/tex]
- The product is [tex]$ 45.936 $[/tex].

4. [tex]$ 38.1 \times 7.3 $[/tex]
- The product is [tex]$ 278.13 $[/tex].

Now we compare each product to our target value of [tex]$ 45 $[/tex]:

- The product of [tex]$ 44.7 \times 2.1 $[/tex] is [tex]$ 93.87 $[/tex], which is much higher than [tex]$ 45 $[/tex].
- The product of [tex]$ 7.5 \times 8.4 $[/tex] is [tex]$ 63.0 $[/tex], which is also higher than [tex]$ 45 $[/tex].
- The product of [tex]$ 8.7 \times 5.28 $[/tex] is [tex]$ 45.936 $[/tex], which is very close to [tex]$ 45 $[/tex].
- The product of [tex]$ 38.1 \times 7.3 $[/tex] is [tex]$ 278.13 $[/tex], which is much higher than [tex]$ 45 $[/tex].

Based on these products, the expression that has a product closest to [tex]$ 45 $[/tex] is:

[tex]\[ 8.7 \times 5.28 \][/tex]