A grocery store sells bananas for dollars a pound and grapes for dollars a pound. Devren buys 3 pounds of bananas and 4 pounds of grapes for $10.25. Stacey buys 2 pounds of bananas and 2 pounds of grapes for $5.50. (a) Write the system that represents this situation.

(b) Solve the system. How much is a pound of bananas? How much is a pound of grapes?

(a)

(b)

1 pound of banana = $0.75

1 pound of grape = $2.00

Step-by-step explanation:

Given

Represent banana with b and grapes with g.

From the first statement, we have:

From the second, we have:

Solving (a): The equations

This has been solved above.

The equations are:

Solving (b):

--- (1)

--- (2)

Multiply (2) by 2

* 2

----- (3)

Subtract (3) from (1)

Substitute 0.75 for b in (2)

Collect Like Terms

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,