24 February, 08:42

# Four friends share the profit of a lawn care service equally. The friends charge \$45 per lawn and spend \$30 of their totalearnings on gasoline for the lawnmowers each week. Which inequality can be used to find m, the number of lawns they needto mow next week so that each person earns at least \$275?45m-30 227545m-30227545m-30 \$27545m - 30 s275

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1. 24 February, 08:59
0
45 m - 30 ≥ 275 x (4) is the required inequality.

Step-by-step explanation:

m: The number of lawns they need to mow next week

The charge per mowing of lawn = \$45

The total earnings spent on gasoline each week = \$30

The earning per person is AT LEAST \$275.

Now, if 1 person earns at least \$275

So, the total minimum earnings of 4 people = 4 x (\$275) = \$ 1100

Also, of per mow charge = \$45

So, the charge of mowing m lawns = m x (Per mow charge)

= m x (\$45) = 45 m

Now, according to question:

Total Earning - Money spent on gasoline ≥ Total Earning \$1100

or, 45 m - 30 ≥ 1100

Hence, the needed inequality is 45 m - 30 ≥ 1100

or, 45 m - 30 ≥ 275 x (4)