Your family likes to eat fruit, but because of budget constraints, you spend only $15 each week on fruit. Your two choices are apples and grapes. Apples cost $3.00 per pound, and grapes cost $6.00 per pound. Let a denote the number of pounds of apples you buy and g the number of grapes. Because of your budget, it is possible to express g as a linear function of the variable a. To find the linear formula, we need to find its slope and initial value. (a) If you buy More pound of apples, how much ess money do you have avallable spend on grapes?
How many fewer pounds of grapes can You buy?
(b) Use vour answer to part (a) to find the slope of Iinear function of (Hint: Remember that the slope the change in the function that results from increasing the variable by Should the slope of be positive or negative?
(c) To find the initial value of determine how many pounds of grapes You can buy if you buy no apples.
(d) Use vour answer to parts (b) and (c) to find formula for linear function of a.