Steve is mowing lawns for the summer. For every mowing job he charges a $10 service fee then
$5 per hour. Let F represent Steve's fee in dollars) for a single job that took t hours. Create a
linear equation that models Steve's fee.

y=5x+10

Step-by-step explanation:

The slope of the equation is caused by a rate  of change. The only factor changing in this situation is the amount of money he earns per hour, (5 dollars).making 5 your slope. your y intercept is the one time fee (not changing by any increment of time) making 10 your why intercept. Then you just plug those values into the following equation, y=mx+b, where m is your slope and b is your y intercept.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

3

step-by-step explanation: