SYSTEMS OF LINEAR AND EXPONENTIAL EQUATIONS

If a system consists only of a linear function and an exponential graph, what is the maximum number of solutions possible of the system?

2

The graph of y = -3x + 2 intersects the graph of an exponential function at (-1, 5). Which of the following could be the exponential function?

y = 10(2) x

Which system below has no solution?

y = 4 x and y = 2 x - 3

Match each system with the number of solutions.

y = (0.5) x, y = 6 = 2 y = 4(1.2) x, y = x + 7 = 0 y = -5 -x, y = x + 5 = 1

Which system matches the graph below?

y = -4 x and y = 2 x - 3

Ron buys a lawnmower for $1,500. The salesperson says the value will depreciate about 30% per year over the next few years. However, his neighbor says it is likely to depreciate about $300 per year. Which system could be used to determine when the two depreciation models will give the same value for the lawnmower?

y = 1,500(0.7) x and y = 1,500 - 300 x

Which point is an exact solution to the system y = -6(0.75)x and y = 4(x - 1)?

(-1, -8)

Find the solutions of the system: y = 2(5)-x and x + y = 2

(0, 2) and approximately (1.91, 0.09)

Match each statement with its corresponding value for the system below: y = -2(3)x and y = 9x - 2

The number of points of intersection = 1 The y-coordinate of the solution = -2 The x-coordinate of the solution = 0