I agree that this is an unfortunate turn of events — and I would be sad to be in your position.
To add a bit more context:
• we just parted ways with 23% of our staff (layoff + furlough) this week.
• remaining team members are taking a 3 month 10% cut in base salary.
• unlike many companies, we're still conducting our internship program — so it's good that you at least have the option to continue with your internship, unlike many others whose internships were canceled.
At $9600 per month, Lyft had one of the highest salaries for an internship; $4800 per month is still a decent chunk of change, particularly as you don't have to be in Seattle, NYC, or San Francisco anymore.
If you have other options, I think everyone would understand if you chose to pursue those instead. If not or if you choose to join us anyway, having an internship at Lyft can lead to a full-time offer and/or make you more competitive when applying for full-time jobs in the future.
The real value of an internship is more-so in giving you practical experience rather than the compensation.