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

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

Step-by-step 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

45.36 feet per second

step-by-step explanation:

tyrone travels 30 miles in 58.2 minutes.  

1 mile = 5280 feet; this means he travels

30(5280) = 158400 feet in 58.2 minutes.

1 minute = 60 seconds; this means he travels 158400 feet in

58.2(60) = 3492 seconds.

this gives us the unit rate of

158400/3492 = 45.36 feet per second.