Respuesta :
Answer: 27x + 50 = y, $266
Step-by-step explanation:
First, let's form a linear equation that will help us find out how much that will cost.
Let's set x = the cubic yards of rocks delivered and y = total cost.
First, we know that the business charges 27 dollars for every x that you buy. That can be shown with a multiplication expression:
27x
Next, we know that the business charges a fixed fee of $50 for their services. This fee would be added on to the amount that they charge for the rocks that you buy.
27x + 50 = y
That's our linear expression! Next, we need to find out the total cost, y, when you need 8 cubic yards of rocks delivered, x.
To solve this, we need to substitute values for at least one of our variables.
Since 8 describes the cubic yards of rocks delivered, we can substitute 8 for x.
But we don't know y, the total cost- that's what we're solving for! In other words, we're solving for y.
Let's just substitute in what we know:
27(8) + 50 = y.
216 + 50 = y
y = 266
So, we know that it would cost $266 dollars to have 8 cubic yards of rocks delivered to a site.
By the way, you can also graph your linear equation to find the corresponding y-value to 8 as another way to solve your problem.
