Tom owns a landscaping business. He charges $40 for a yard cleanup, $50 to mow a lawn, and $75 to mulch a yard. On average, it takes Tom 25 minutes for a yard cleanup, 40 minutes to mow a lawn, and 2 hours to mulch a yard. Tom's clients are Mr. Hansen, Ms. Martinez, and Mrs. Johnson. . Mr. Hansen paid $125 for lawn services this week. . Tom spent more than an hour at Ms. Martinez' house this week. • Mrs. Johnson wrote Tom a check for $165 for the week. Tom made $405 from his three clients this week.

The unit amount and time for each service offered by Tom can be represented as equations. The conclusion from the given parameters are:

Given that:

Cost

Yard cleanup

Mowing a lawn

Mulching a yard

Time

Yard cleanup

Mow a lawn

Mulching a yard

From the question, we understand that:

Recall that:

Mowing a lawn

Mulching a yard

Add up:

This means that Mr. Hansen paid $125 to mow a lawn and to mulch a yard.

Recall that:

Yard cleanup

Mowing a lawn

Mulching a yard

Add up:

This means that Mrs. Johnson paid $165 for the three services

The amount paid by Ms. Martinez is calculated as follows:

Substitute known values

Collect like terms

This means that Ms. Martinez paid $115

Recall that:

Yard cleanup

Mulching a yard

Add up

This means that Ms. Martinez paid $115 for a yard cleanup and to mulch a yard.

Read more about equations at:

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.