Question

type the correct answer in each box. use numerals instead of words. a factory begins making tortillas in the morning, and it continues making tortillas throughout the day at a nearly constant rate. at noon, mr nichols starts collecting data about the total number of tortillas made. he updates his data every half hour, and at the end of the day he creates the given graph to display the data the linear equation shown below can be used to model the data, where x is the time, in hours, and y is the number of tortillas produced $y = 12000x+35000$. use the graph of the linear model to complete the following statements. round to the nearest thousand, if necessary. when mr nichols began recording the data, tortillas had already been produced. the total number of tortillas produced 2 hours after he began recording the data was . the total number of tortillas produced hours after he began recording the data was 85000.

Explanation:

Step1: Find initial - produced tortillas

When Mr. Nichols began recording data ($x = 0$), substitute $x = 0$ into the equation $y=12000x + 35000$.
$y=12000\times0 + 35000=35000$.

Step2: Find tortillas produced 2 hours after recording

Substitute $x = 2$ into the equation $y=12000x + 35000$.
$y=12000\times2+35000=24000 + 35000=59000$.

Step3: Find time when 85000 tortillas are produced

Set $y = 85000$ in the equation $y=12000x + 35000$. Then $85000=12000x+35000$.
Subtract 35000 from both sides: $85000 - 35000=12000x$, so $50000 = 12000x$.
Solve for $x$: $x=\frac{50000}{12000}\approx4.17\approx4$.

Answer:

35000
59000
4