Analyzing Steps to Write a Linear Equation
A 5-minute international call costs $2.15 and a 12-minute call costs $3.06. The work shows how to write an equation where x represents the number of minutes, and y represents the total cost of an international call. Analyze the steps of the work to determine if the equation is correct.

1. Point 1: (5, 2.15). Point 2: (12, 3.06). 2. m = StartFraction 12 minus 5 Over 3.06 minus 2.15 EndFraction = StartFraction 7 Over 0.91 EndFraction = 7.69. 3. 5 = 2.15 (7.69) + b. b = negative 11.54. 4. y = 7.69 x minus 11.54.

In which step did Emilia make an error?
In step 2, she substituted the x values for y and the y values for x.
In step 3, she didn’t use an x and y from the same coordinate pair.
In step 4, Emilia solved for the wrong variable.
Emilia did not make an error.

Ajar contains a mixture of 20 black marbles, 16 red marbles, and 4 white marbles, all the same size. find the probability of drawing a white or red marble on the first draw. 125 12 01 next question ask for turn it in

Using inductive reasoning, what are the next two number in this set? 2,3/2,4/3,5/4,

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.