Question

linear equation in slope intercept form for this situation. mary is selling popcorn for $5.00 per bucket and hotdogs for $4.75 each. after one hour, she makes $72.50

Answer 1

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

Explanation:

given data

selling popcorn = $5.00

hotdogs = $4.75

makes = $72.50

solution

we consider here number of bucket sold = a

and number of hotdogs sold = b

Then after 1 hour she makes $72.50

equation for number of popcorn and number of hotdogs sold after an 1 hour is express as

$72.50 = number of bucket sold × price of popcorn per bucket + number of hotdogs sold × price of hotdog ...............................1

put here value and we get

72.50 = 5 × a + (4.75) × b

5 a + 4.75 b = 72.50

so here equation is equivalent to the standard form in the linear equation that is express ( Ax + By = C )

and here A and B are non zero with A, B and C all three are real number

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