Question

Joe earns $14 an hour and Blaine earns $18 per hour. Joe receives a raise of $1.75 every six months, and Blaine receives a raise of $0.75 every six months. Write and solve an equation that can be used to find x, the number of six-month intervals it will take Joe to earn the same hourly rate as Blaine. (Show your work) need answered quick

Answer 1

Answer:

4 interval of six months.

Step-by-step explanation:

Given: Joe earn $14 per hour

           Blaine earn $18 per hour.

           Joe receives a raise of $1.75 every six months

           Blaine receives a raise of $0.75 every six months.

Lets assume the number of six month intervals be "x".

Now, finding the number of six months interval require to get Joe´s earning equal to Blaine earning.

Forming an equation to find the six month interval

⇒ $14+(1.75\times x)= 18+(0.75\times x)$

Solving the equation to find the value of x

⇒ $14+1.75x= 18+0.75x$

subtracting both side by 0.75x

⇒ $14+x= 18$

subtracting both side by 14

∴ $x= 4$

Subtituting the value of x, we will get both Joe and Blaine earning as equal.

$14+(1.75\times x)= 18+(0.75\times x)$

⇒ $14+(1.75\times 4)= 18+(0.75\times 4)$

⇒ $\ 21= \ 21$

Hence, after 4 interval of six months, Joe to earn same hourly rate as Blaine.