Answer:
- 
Step-by-step explanation:
Given the 2 by 2 matrix
![\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%5C%5Cc%26d%5C%5C%5Cend%7Barray%7D%5Cright%5D)
The determinant = ad - bc
For the given matrix
a = , b = 
, c = , d = , thus
ad - bc = × - ( × ) = 
- 
= -
7000 • 5 • 3 = 105,000
Hope this helps!
The distance from their house the Bensons' after 412 hours will be 18, 640 miles
<h3>What is a function?</h3>
A function is an expression or rule that explains the relationship between a dependent and independent variable.
Given the function;
d= 45 t + 100
Where;
- d is the total distance
- t is the time taken
If t = 412 hours
Substitute into the formula
d = 45 ( 412) + 100
d = 18540 + 100
d = 18, 640 miles
Thus, the distance from their house the Bensons' after 412 hours will be 18, 640 miles
Learn more about functions here:
brainly.com/question/2456547
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Hello There Mate!
The correct answer is 200000.
Hope This Helps You!
Good Luck :)
