Question

Rocco mows lawns in the summer. he charges $10 for every 1/2 hour of mowing. this is represented by the equation y=10x , where y is the total amount rocco charges and x is the number of 1/2 -hour sessions of mowing. if mr. stevenson’s lawn takes 2.5 hours to mow and mrs. price's lawn takes 4 hours to mow, how much more would rocco charge mrs. price than mr. stevenson?

Answer 1

By converting the total mowing time for each lawn into half-hour sessions and applying Rocco's rate, we find that Rocco would charge Mrs. Price $30 more than Mr. Stevenson for mowing her lawn.

Step-by-step explanation:

Rocco charges for mowing lawns based on the number of half-hour sessions. He charges $10 for every 1/2 hour of mowing, which can be represented by the equation y=10x, where y is the total amount Rocco charges, and x is the number of 1/2-hour sessions. To calculate how much more Rocco would charge Mrs. Price than Mr. Stevenson, we need to convert the total hours into half-hour sessions and then apply the equation.

Mr. Stevenson's lawn takes 2.5 hours to mow, so:

There are 2.5 hours × 2 = 5 half-hour sessions.

The charge for Mr. Stevenson's lawn is y = $10 × 5 = $50.

Mrs. Price's lawn takes 4 hours to mow, so:

There are 4 hours × 2 = 8 half-hour sessions.

The charge for Mrs. Price's lawn is y = $10 × 8 = $80.

The difference in charges is:

$80 - $50 = $30.

Therefore, Rocco would charge Mrs. Price $30 more than Mr. Stevenson.

Answer 2

Rocco would charge Mrs. Price $30 more than Mr. Stevenson for lawn mowing services.

Step-by-step explanation:

The question asks us to calculate how much more Rocco would charge Mrs. Price than Mr. Stevenson for lawn mowing services. Given that Rocco charges $10 for every 1/2 hour of mowing, we can use the equation y = 10x to determine the total charge for each lawn based on the time taken to mow.

For Mr. Stevenson's lawn, which takes 2.5 hours to mow, we calculate x as the number of 1/2-hour sessions. This gives us 2.5 hours divided by 0.5 hours/session, which equals 5 sessions. Plugging this into the equation y = 10x would give us
total charge for Mr. Stevenson's lawn: $10 x 5 = $50.

Applying the same calculation for Mrs. Price's 4-hour lawn mowing job, we get 4 hours divided by 0.5 hour/session, which equals 8 sessions. Thus,
total charge for Mrs. Price's lawn: $10 x 8 = $80.

To find out how much more Rocco would charge Mrs. Price than Mr. Stevenson, we subtract Mr. Stevenson's charge from Mrs. Price's charge: $80 - $50 =
$30 more.