Which scenario would have only an x-intercept if x is the number of ink cartridges Arden buys and y is the total amount she spends on ink cartridges?

A. She gets her first two ink cartridges for free.

B. She pays a monthly membership fee to buy ink cartridges at a discount.

C. She gets a free ink cartridge for every five that she buys.

D. She pays an initial fee for a lifetime of ink cartridges at half-price.

Question

Which scenario would have only an x-intercept if x is the number of ink cartridges Arden buys and y is the total amount she spends on ink cartridges?

A. She gets her first two ink cartridges for free.

B. She pays a monthly membership fee to buy ink cartridges at a discount.

C. She gets a free ink cartridge for every five that she buys.

D. She pays an initial fee for a lifetime of ink cartridges at half-price.

rulnick · Answer

A

rulnick · Answer

... although it is kind of a bogus question ... depends on fine details about how the function is defined.

directrix · Answer

A. She gets her first two ink cartridges for free.

If the relationship is thought of as y = $$ times x where $$ is the cost of one ink, and x the numbers of inks, then y is the cost. 

For a graph of a line to have an x-intercept, y would have to be 0. That corresponds to spending no money.

I agree with rulnik --> bogus problem because what happens to the function when the 3rd ink is purchased?