Hello There today we will solve your problem
[tex]\huge\red{\mid{\underline{\overline{\textbf{Question}}}\mid}}[/tex]
Brandon earns $9.70 for every hour that he works. If he worked for 4.5 hours, how much money would Brandon earn?
Response :-
Since $9.70 per hour is the hourly rate we can make an equation out of what you've given us.
[tex]\frac{9.70}{1}=\frac{x}{4.5}[/tex]
Definitions-
Cross Multiplication - In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.
Distributive - To use the distributive property, we need to understand the formula to use it. This formula will ensure that you can easily solve any equation.
The distributive property is A(B + C) = AB + AC, where AB is the product of the values A and B and AC is the product of the values A and C.
First, let's notice that we are distributing a 2 into the parentheses, so we will mark this as our A value.
Then, our two values inside the parentheses are B and C respectfully.
Now, we can apply the formula.
_____________
Now since we had
[tex]\frac{9.70}{1}=\frac{x}{4.5}[/tex] we can make the equation of
[tex]1(x)=4.5(9.70)[/tex]
use distributive property
[tex]x=43.65[/tex]
_____________
[tex]\huge\red{\mid{\underline{\overline{\textbf{Answer}}}\mid}}[/tex]
- Brandon obtains $43.56 in 4.5 hours.
