Identify the independent and dependent variable of the following statement.

1.You are going running. For every mile you run, you burn100calories.

2.You want to see which types of fertilizer helps plants grow fastest, so you add a different brand of fertilizer to each plant and see how tall they grow.

3.During pandemic you babysit you little sister who always throws a tantrum when she's asked to eat vegetables. Over the week, you ask her to eat vegetables four times.

4.Your cousin invites you to a party, and you decide to attend, but you're worried that staying out too long will affect how well you do on your algebra test tomorrow morning.

5.Department of Public Works and Highways is painting lines on the freeway. The number of hours needed to finish the project depends on the length of road that needs to be lined.

Analyze the given problem and solve according to what is being asked

1.Ton-ton's company charges a fixed flag rate of Php35 and Php2.75 for every mile covered. Put an expression for the total fare as a function of distance driven. Then solve for the total fare after the cab traveled for 36 miles.

2.Smart telecom. offers a plan that costs 1,200.00 per month. The plan includes 180 free minutes of call and charges 7.00 for each additional minute of call usage. Find the monthly cost function C(x) where x represents the number of minutes used. If Ana avail this plan, how much is the monthly cost of the plan if the owner used 285 minutes of call?

3.A proposed Metro Manila Rail Transit System Line 1 (MRT-1) fare would charge 15.00 for the first four stations and 3.50 for each additional station over the proposed fare.

a. Find the fare function f(x) where x represents the number of stations traveled

b. Find the proposed fare for 10 stations

c. Find the proposed fare for 15 stations

4.Marie decided to put up a candy shop that sells a dairy chocolate that cost 55.00 per pack. The cost of making the chocolate is 98.00 and the operating expense is 4,500.00.

a.What is a profit function?

b.How much is the gain if Emmanuel sold 450 packs of chocolates?