How old am i if 500 reduced by 3 times my age is 266

Hey there!

Let's start by making an equation to represent this.

500 - 3a = 266

Reduced by is the same as subtracting, and a represents age.

Subtract 500 from both sides.

-3a = -234

Divide each side by -3.

a = 78

Check.

500 - 3(78) = 266

500 - 234 = 266

266 = 266

You are 78 years old.

Hope this helps!

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!