1a). A company discovers that to produce x=x=750 new electronic parts, it will cost y=y=$46,900. To produce 510 new electronic parts, it will cost $32,500. Compute the slope of the costs and choose the most accurate statement from the following:

• Costs are increasing at a rate of $62 per item.
• Costs are decreasing at a rate of $62 per item.
• Costs are decreasing at a rate of $60 per item.
• Costs are decreasing at a rate of $64 per item.
• Costs are increasing at a rate of $64 per item.
• Costs are increasing at a rate of $60 per item.

1b). A company has a manufacturing plant that is producing quality canisters. They find that in order to produce 140 canisters in a month, it will cost $4360. Also, to produce 390 canisters in a month, it will cost $7860. Find an equation in the form y=mx+b,y=mx+b, where xx is the number of canisters produced in a month and yy is the monthly cost to do so.

1c).The population of the LessShy neighborhood has been growing steadily since 1987. In 1994, the population was 31300 people. In 1997, it was 34000 people. Find an equation in the form y=mx+b,y=mx+b, where xx is the number of years past 1987 and yy is the population of LessShy.

1d). The population of a small town in central Florida has shown a linear decline in the years 1994-2004. In 1994 the population was 40500 people. In 2004 it was 35700 people.

A) Write a linear equation expressing the population of the town, P, as a function of t, the number of years since 1994. Answer:

B) If the town is still experiencing a linear decline, what will the population be in 2008?

1e). Entomologists are biological scientists who study insects. Entomologists studying tree crickets have found that they chirp at different rates depending on the temperature.

The number of chirps per minute, C, that the tree cricket makes is linearly dependent on the temperature, T, in Fahrenheit. The crickets do not chirp at all below 45 degrees and at 80 degrees they chirp about 126 times per minute.

A) Express the number of chirps, C, as a function of the temperature, T. Be sure to use function notation.

B) How many chirps per minute will crickets make at 90 degrees?