Question

Write a linear equation in slope-intercept form or standard form to represent each situation. Then, explain why your choice is the best representation. Mary is selling popcorn for $5 per bucket and hotdogs for $4.75 each. After one hour, she makes $72.50.

Answer 1

5a + 4.75b = 72.50  is the equation in standard form to represent the situation

Solution:

Let the number of bucket sold be ‘a’ at $5 each and the number of hotdogs sold be ‘b’ at $4.75 each. Then after 1 hour she makes $72.50

So, on the basis of the above problem we can make an equation as follows:-

The equation for number of popcorn and hotdogs sold after 1 hour:

$72.50 = number of bucket sold x price of popcorn per bucket + number of hotdogs sold x price of hotdog

72.50 = 5a + (4.75)b  

5a + 4.75b = 72.50

The above Equation is equivalent to the standard form of linear equation which is Ax + By = C

where A, B, and C are real numbers, and A and B are both not zero

Hence, the best choice is standard form as it has two variables in it we can solve the equation to get the value of variables in it