Solve. Please show your work
1 answer:
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Given:
The given expression is
To find:
The two other equivalent expressions.
Solution:
We have,
Using distributive property, we get
So, one equivalent expression is .
On further simplification, we get
Therefore, the second and fully simplified equivalent expression is .
<h2>Explanation:</h2>
The complete question is in a comment above. The statements says that:
- Sean wrote the equation
is the cost per pound.
- The equation show the relationships between the total cost, $9.25, and the number of pounds of pears.
So we are asked to write an write an equation to show the cost y of x pounds of pears. In other words, we need to write an equation such that y is given in terms of x, where x is the pounds of pears. So:
From the equation we can determine as:
So each pound costs $1.85. The equation tells us that 5 pounds of pears result costs $9.25. Then, by proportion:
So choosing the number of pounds as 0, 1, 2, 3, 4, 5, the table would be:
From the table we can know that the graph is a line. that passes through all these points. Since this line passes through the origin, then y varies directly as x (Direct Proportion).