you have started a business making doghouses, and you have already built seven doghouses. your local…

you have started a business making doghouses, and you have already built seven doghouses. your local hardware store saw your work and wants to buy as many as you can build for sixty - one dollars per doghouse. the situation can be modeled by the equation y = 61(x + 7). for each expression on the left, match it to its corresponding description on the right. y 7 61 61(x + 7) x + 7 x the total earnings from selling your doghouses the total number of doghouses you build

you have started a business making doghouses, and you have already built seven doghouses. your local hardware store saw your work and wants to buy as many as you can build for sixty - one dollars per doghouse. the situation can be modeled by the equation y = 61(x + 7). for each expression on the left, match it to its corresponding description on the right. y 7 61 61(x + 7) x + 7 x the total earnings from selling your doghouses the total number of doghouses you build

Answer

Explanation:

Step1: Analyze the equation

The equation is $y = 61(x + 7)$. Here, $61$ is the price per dog - house. $x$ represents the number of additional dog - houses built after the initial 7. $x+7$ is the total number of dog - houses built. And $y$ is the total earnings from selling all the dog - houses.

Step2: Match the expressions

  • $y$: the total earnings from selling your doghouses.
  • $7$: the number of doghouses already built.
  • $61$: the price per doghouse.
  • $61(x + 7)$: the total earnings from selling your doghouses (same as $y$).
  • $x + 7$: the total number of doghouses you build.
  • $x$: the number of additional doghouses built after the initial 7.

Answer:

$y$ - the total earnings from selling your doghouses $7$ - the number of doghouses already built $61$ - the price per doghouse $61(x + 7)$ - the total earnings from selling your doghouses $x + 7$ - the total number of doghouses you build $x$ - the number of additional doghouses built after the initial 7