After 10 minutes, there will be 42 gallions of water in the tank. The tank is being filled at the constant rate of 5 gallons every 25 minutes.For this scenrio.A. Make a table of the data. Included at least 4 ordered pairsB. Define your varaiblesC. Figure out the equation that describes the dataD Graph this equation. Label and scale the axes appropriately

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Cheyanne Charles · Accepted Answer

The rate of filling up the water tank is 5 gallons in every 25 minutes, i.e.       5    25    =      1    5    =  0.20 gallon per minute. Thus, in 10 minutes,   10  ⋅      1    5    =  2 gallons of water will be added to the tank.Further, since the quantity of water in the tank after 10 minutes will be 42 gallons, the present quantity of water in the tank is 42 -2 = 40 gallons. Let the variable t indicate the time in minutes from now and let q denote the quantity of water in the tank. The desired table is as under:                    Time (t) in minutes from now                    Quantity of water in the tank in gallons, t minutes from now                    (t, q)                            0                    40                    (        0        ,        40        )                            5                    41                    (        5        ,        41        )                            10                    42                    (        10        ,        42        )                            25                    45                    (        25        ,        45        )            B The time denoted by t in minutes from now and the quantity of water in the tank , q, in gallons, t minutes from now are the desired variables.C The equation describing th e above data is q = t/5 + 40. Here, as described above, 40 gallons is the quantity of water in the tank at present. The rate of filling up the tank is 1/5 gallon per minute. Thus, the quantity of water in the tank , q, in gallons, t minutes from now is described by the equation q = t/5 + 40. On substituting any of the values of t and q from the ordered pairs in the table above, this equation is satisfied.D. The vertical intercept is the value of q when t = 0, i.e 40 gallons . Its coordinate pair, therefore, is (0,40). This means that the present quantity of water in the tank is 40 gallons.

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