Surf Shack rents boards to beach goers. Each boogie board, b, rents for $5 per day and each surfboard, s, rents for $10 per day. On Tuesday, they rent out a total of 14 boards and have an income of $80. Write two equations relating boogie boards, b, and surfboards, s.

b + s = 14

5b + 10s = 80

Step-by-step explanation:

b + s = 14

$5b + $10s = $80

Step-by-step explanation:

the sum of boogie board and surfboard rented is 14

boogie board rented + surfboard rented = 14

b + s = 14  equation 1

total income derived from renting the two types of boards is $80

total income derived = total income derived from renting boogie boards + total income derived from renting surfboards

total income derived from renting boogie boards = cost of renting one boogie board x number of boogie boards rented

= $5 x b = 5b

total income derived from renting surfboards = cost of renting one surfboard x number of surfboards rented

= $10 x s = 10s

80 = 5b + 10s   equation 2

answer: standard form is ax^2 + bx + c = 0

step-by-step explanation:

standard form is ax^2 + bx + c = 0

(2x + 1)(x - 2) = 0

distribute to get into standard form

2x^2 - 4x + x - 2 = 0

2x^2 - 3x - 2 = 0

a = 2, b= -3, c = -2

a is your answer