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 $[/tex]3 \times 2 = 6$.
