Quincy feeds his dog 2.75 cups of dog food each day. Each cup of dog food costs [tex]$1.75. Multiply the numbers together to determine how much it costs to feed his dog each day.

Which expression will result in the best estimate for Quincy to use to check his multiplication?

A. $[/tex]2 \times 1[tex]$
B. $[/tex]2 \times 2[tex]$
C. $[/tex]3 \times 1[tex]$
D. $[/tex]3 \times 2$



Answer :

To solve this problem, we need to figure out two things: the exact cost of feeding Quincy's dog each day and the best estimate to check the multiplication.

1. Calculate the exact daily cost:
- Quincy feeds his dog 275 cups of dog food each day.
- Each cup of dog food costs [tex]$1.75. To find the total daily cost, multiply the number of cups by the cost per cup: \[ \text{Total cost} = 275 \times 1.75 = 481.25 \] So, it costs Quincy $[/tex]481.25 to feed his dog each day.

2. Estimate the multiplication:
To verify the multiplication, Quincy needs to estimate the total cost using simpler numbers. Let's look at the provided options:
- [tex]$2 \times 1$[/tex]
- [tex]$2 \times 2$[/tex]
- [tex]$3 \times 1$[/tex]
- [tex]$3 \times 2$[/tex]

The goal is to choose an estimation that is close to the actual numbers involved, which are 275 and 1.75. The closest simpler multiplication would be:
[tex]\[ 3 \times 2 = 6 \][/tex]

Thus, the correct estimation for Quincy to use to check his multiplication is [tex]$3 \times 2$[/tex], which results in 6.

So, here are the results:
- The exact cost of feeding the dog each day is [tex]$481.25. - The best estimation Quincy can use to check his multiplication is $[/tex]3 \times 2 = 6$.

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