One cattle farmer plans to grow his cattle population 2 percent each year, modeled by the function f of t is equal to 100 times 1 point 0 2 to the t th power Another farmer intends to add 20 cattle per year, modeled by the function g of t is equal to 100 plus 20 t For this application, the domain is restricted to t is greater than or equal to 0 . If the farmers become partners, which function represents the total cattle they will have after t years?
Consider the table of values for h of x is equal to f of x plus g of x x f of x g of x h of x is equal to f of x plus g of x 1 3 and 1 half 1 2 4 1 fourth 3 4 and 1 half 1 ninth 4 5 1 over 16 Which values complete the table for h of x ?
An airplane company is determining the difference in selling price if rows of first-class seats are added to a new design. Using the average selling price of 1 dollars comma 000 per first-class seat, the total selling price for one new row is f of r is equal to 4 comma 000 r Each row in first class eliminates two rows of economy seats. Using the average selling price of 150 dollars per economy seat, the total price for each pair of removed rows is e times r is equal to 1 comma 800 r Which is d times r , the profit or loss for adding r rows of first class seats?
On a given day, the temperature in a pool increases with both the work of a heater modeled by the function h of t and the Sun s times t , depending on the amount of time that passes, t , in minutes. Which graph best shows the combination of both functions, c times t ?
Which graph shows h of x is equal to f of x over g of x ?
The tables show the functions to calculate the costs for a master plumber, cap m times h , and an apprentice, cap A times h , depending on the number of hours, h , that it takes to complete a job. h 2 point 7 5 3 point 2 5 4 4 point 5 cap m times h 143 169 208 234 h 2 point 7 5 3 point 2 5 4 4 point 5 cap A times h 93 point 5 110 point 5 136 153 The total cost for work done by a crew of one master plumber and one apprentice is the sum of the costs for each member of the crew. Which table shows the total cost for various times worked?
An isosceles right triangle has a hypotenuse length that can be modeled with the function h of x is equal to x square root of 2 The combined length of the legs can be modeled with the function cap l times x is equal to 2 x Which function, p times x , can be used to find the perimeter of the triangle?
The function f of t is equal to negative 16 t squared plus 250 represents the distance of a dropped object from the ground at any time, t The equation g of t is equal to 15 t represents the height of the object if it is tossed upward at a rate of 15 feet per second. The sum of the functions can be used to model the distance the dropped object is from the ground if it is tossed upward at a rate of 15 feet per second before it begins its descent. Which function models the sum?
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