Kate has a $75 gift card to a coffee shop. Each Friday, she purchases a latte for $5. She created a graph to represent the amoun
t of money on her gift card each week. Does Kate's graph represent the situation? Why or why not? A. No, because the amount of money on her gift card should increase each week. B. Yes, because she starts with $5 on her gift card. C. No, because the graph should start at the origin D. Yes, because the amount of money on her gift card should decrease each week.
2 answers:
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Answer:
In the year 2010, the population of the city was 175,000
Step-by-step explanation:
If we rewrote this as a linear expression in standard form (it is linear, btw), it would look like this:
The rate of change, the slope of this line, is 11/2. If the year 2010 is our time zero (in other words, we start the clock at that year), then 0 time has gone by in the year 2010. In the year 2011, t = 1 (one year goes by from 2010 to 2011); in the year 2012, t = 2 (two years have gone by from 2010 to 2012), etc. If we plug in a 0 for t we get that y = 175,000. That is our y-intercept, which also serves to give us the starting amount of something time-related when NO time has gone by.