long-distance calls from new york to harare are priced at 85 cents/min off peak and $1.20/min at peak times.

a_ draw, on the same axes conversion graphs for the two different rates.
b_ from your graph estimate the cost of an 8 minute call made off peak.
c_ estimate the cost of the same call made at peak rate.
d_ a call is to be made from a telephone box. if the caller has only $4 to spend, estimate how much more time he can talk for if he rings at off peak instead of at peak times

Cannot draw graphs on these posts.

b. 8 *.85 = ?

c. 8 * 1.20 = ?

d. compare 4.00/.85 to 4.00/1,20

a) To draw the conversion graphs for the two different rates, we can use the minutes (x-axis) and the cost in dollars (y-axis).

For the off-peak rate of 85 cents/min, the graph would start at the origin (0,0) and have a slope of 0.85 (since it is 85 cents/min). The equation of the line would be y = 0.85x.

For the peak rate of $1.20/min, the graph would also start at the origin (0,0) and have a slope of 1.20 (since it is $1.20/min). The equation of the line would be y = 1.20x.

b) To estimate the cost of an 8-minute call made off-peak, we can use the off-peak graph. Plugging in x = 8 in the equation y = 0.85x, we get y = 0.85 * 8 = $6.80. Therefore, the estimated cost of an 8-minute call made off-peak is $6.80.

c) To estimate the cost of the same call made at peak rate, we can use the peak rate graph. Plugging in x = 8 in the equation y = 1.20x, we get y = 1.20 * 8 = $9.60. Therefore, the estimated cost of the same call made at peak rate is $9.60.

d) To estimate how much more time the caller can talk for if he calls at off-peak instead of peak times with $4, we can calculate the time difference in minutes.

For off-peak rate:
Cost of call = $4
Cost per minute = $0.85
Let x be the additional time in minutes.
$0.85 * (8 + x) = $4
0.85 * (8 + x) = 4
8 + x = 4 / 0.85
x = (4 / 0.85) - 8
x ≈ 2.35 - 8
x ≈ -5.65

Since we cannot have negative time, the caller cannot talk for more time if he calls at off-peak times instead of peak times with $4.

a) To draw conversion graphs for the two different rates, we need to plot the price per minute on the y-axis and the time of the call on the x-axis. Let's assume the x-axis represents time in minutes, and the y-axis represents the price per minute in dollars.

For off-peak rates:
- Plot a point at (0, 0) to represent no cost for a 0-minute call.
- Plot a point at (8, $0.85) to represent an 8-minute call at the off-peak rate.

For peak rates:
- Plot a point at (0, 0) to represent no cost for a 0-minute call.
- Plot a point at (8, $1.20) to represent an 8-minute call at the peak rate.

Connect these points to create two line segments on the graph. The first line represents the off-peak rates, and the second line represents the peak rates.

b) To estimate the cost of an 8-minute call made off peak, we can read the y-coordinate value on the off-peak line segment at the point (8, $0.85). From the graph, we can estimate that the cost would be $0.85 per minute, so the total cost would be 8 x $0.85 = $6.80.

c) To estimate the cost of the same 8-minute call made at the peak rate, we can read the y-coordinate value on the peak line segment at the point (8, $1.20). From the graph, we can estimate that the cost would be $1.20 per minute, so the total cost would be 8 x $1.20 = $9.60.

d) To estimate how much more time the caller can talk for if they ring at off peak instead of peak times with $4, we need to compare the cost per minute at the two rates.

At the off-peak rate of $0.85 per minute:
$4 / $0.85 per minute = approximately 4.7 minutes

At the peak rate of $1.20 per minute:
$4 / $1.20 per minute = approximately 3.33 minutes

Therefore, the caller can talk for approximately 4.7 - 3.33 = 1.37 minutes more if they ring at off peak instead of peak times with $4. Keep in mind that these are estimates based on the graph and may not be exact values.