explain and show the work step by step 1. A pay-as-you-go phone is purchased for $19.99 and includes up to 100 minutes of conversation, texting or internet use, with a charge of $0.50 for each minute used. The linear equation that models the cost of the phone for x minutes of use is: C = 19.99 + 0.5x or C = 0.5x + 19.99 a. Find the C-intercept of the equation and interpret its meaning in the context of this application. b. Find the slope of the line described by the equation. c. One correct interpretation of the slope is for every 1 minute of conversation, texting or internet use, the cost increases ______________ d. Another correct interpretation of the slope is for every 2 minutes of conversation, texting or internet use, the cost increases ______________ e. For every 3 minutes of conversation, texting or internet use, the cost increases __________________ f. A more general and correct interpretation of the slope is for every x minutes of conversation, texting or internet use, the cost of the phone increases _____________________ ------------------------------------------------------------------------------------------------------------------------------------------ 2. Suppose the minimum wage in a country has been rising steadily since 1990 at the average rate of $0.16 per year. In 1990, the minimum wage was $4.20. a. Find the linear equation that describes or models the minimum wage, W for x years after 1990. b. Find the W-intercept of the equation and interpret its meaning in the context of this application. c. Find the slope of the line described by the equation. d. One correct interpretation of the slope is for every 1 year past 1990, the minimum wage does what? e. A more general correct interpretation of the slope is for every x years past 1990, the minimum wage, on average, does what? f. Calculate W (23), [read as: w at 23] and interpret its meaning in the context of this application. ------------------------------------------------------------------------------------------------------------------------------------------ 3. Suppose for a college course, the number of absences and its effect on percent grade for the course is modeled by the equation P = - 4.5x + 94.8, where x is the number of absences for a given student. a. Find the P-intercept of the equation and interpret its meaning in the context of this application. b. Find the slope of the line described by the equation. c. One correct interpretation of the slope is for every 1 absence, the course percent grade does what? d. Another correct interpretation of slope is for every 2 absences, the course percent grade does what? e. A more general correct interpretation of the slope is for every x absences, the course percent grade, on average, does what? f. Calculate P (7) and interpret its meaning in the context of this application. ------------------------------------------------------------------------------------------------------------------------------------------ 4. Suppose a landfill, built in 1978 has had a negative effect on the population of a small town, such that for each year past 1978, the population of the town has decreased, on average by 190 people. a. Find the linear equation that describes the town's population, P for x years after 1978. b. Find the P-intercept of the equation and interpret its meaning in the context of this application. c. Find the slope of the line described by the equation. d. One correct interpretation of the slope is for every 1 year past 1978, the population did what? e. A more general correct interpretation of the slope is for every x years past 1978, the population of the town, on average did what? f. Calculate P (17) and interpret its meaning in the context of this application