Can you "Step Up" 15 feet if you have Jaunt Boots?

Question

The Step Up feat says:

Benefit: Whenever an adjacent foe attempts to take a 5-foot step away from you, you may also make a 5-foot step as an immediate action so long as you end up adjacent to the foe that triggered this ability. If you take this step, you cannot take a 5-foot step during your next turn. If you take an action to move during your next turn, subtract 5 feet from your total movement.

Jaunt Boots say:

Three times per day, on command for 1 round when the wearer makes a 5-foot step, he can move up to 15 feet. This movement does not provoke attacks of opportunity.

So wearers with Step Up get a 15-foot jaunt whenever an adjacent foe makes a 5-foot adjust. I am reading that right aren't I?

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UPDATE

Thanks for answers. However, on a related note: I'm not convinced that it's a standard action to activate. I know it says "on command" etc. but I think D'arandriel nailed it on this forum post when he said:

With all due respect to SKR, I can't imagine that the intent is to use a standard action to move 15 feet. It seems clear that the intent is to substitute 15 feet of movement instead of a 5 foot step up to 3 times per day, otherwise it's a completely useless item.

IMHO it's a Use Activated item with a command word:

Many use-activated items are objects that a character wears. Continually functioning items are practically always items that one wears. A few must simply be in the character's possession (meaning on his person). However, some items made for wearing must still be activated. Although this activation sometimes requires a command word (see above), usually it means mentally willing the activation to happen. The description of an item states whether a command word is needed in such a case.

Answer 1

I would say yes as long as you end adjacent to your foe at the end of your 15 feet of movement. The tactical benefits would be amazing because not only do you keep the target threatened, you setup a potential flank attack for your friends the next round.

Answer 2

The jaunt boots' wearer can take a 15-ft. step instead of a 5-ft. step even when using with the feat Step Up

Of course, the wearer must adhere to the limitations of the feat Step Up, ending up adjacent to the target after taking that 15-ft. 5-ft. step.

However, the wearer should be aware that, because the jaunt boots are a command-word activated magic item, activating the jaunt boots takes a standard action. This means, for example, instead of not using the jaunt boots, making a full attack, and taking an immediate action to take a 5-ft. step to stay adjacent to the foe that stepped away, the wearer takes a standard action to activate the jaunt boots, takes a move action to do something else, and then can take an immediate action to take a 15-ft. 5-ft. step to end up adjacent to the foe that steps away. Because of a creature's inability to activate the jaunt boots and attack in the same turn, most creatures will find that 7,200 gp is better spent elsewhere, but for a creature that concentrates on area denial, for example, the boots can be worthwhile.

Answer 3

Reading this part:

so long as you end up adjacent to the foe that triggered this ability.

I’d say no. You can command the jaunt boots and move up to 15 feet so long as you end up adjacent to the foe. If by some other effects the 5-foot-move of the foe needs you to move more than 5 feet to get adjacent, then these boots might help, otherwise I don't see a use here.