Fiona earns $10 for mowing each lawn and $5 per hour for her work. Write an inequality to show how many lawns she needs to mow i

Question

Sergeeva-Olga [200]

2 years ago

15

Fiona earns $10 for mowing each lawn and $5 per hour for her work. Write an inequality to show how many lawns she needs to mow i

n order to earn at least $135.

Mathematics

1 answer:

KatRina [158] · Answer 1 · 2022-10-14T14:30:18+03:00

Answer: $\geq$ 9 lawns, assuming Fiona spends 1 hour per lawn.

Step-by-step explanation:

Let Y = the amount earned from mowing a lawn. Let z be the number of hours worked on that lawn.

Y = $10 + $5(z)

We need to know the number of hours, z, for any particular lawn to be able to make this a valid equation. Not having that, we really can't set up a valid equation.

But let's assume z=1 for each and every lawn and see what we'd have.

Y = $10 + $5

Y = $15/lawn.

Fiona needs at least $135 for her Broadway ticket.

Let L be the number of lawns mowed. We need:

L*($15/lawn) $\geq$ $135

L $\geq$ 9 lawns