You need to choose a long distance telephone service for your business. The two options available in your area are Call Me and Trans Talk. Call Me charges a $5.95 monthly service fee and $.08 per minute used. Trans Talk charges a $12.95 monthly service fee and $.05 per minute used. Which company is the better deal for 100 minutes?


Which company is the better deal for 300 minutes?

Graph this system using the y intercepts and points found above. What appears to be the point of intersection of these two lines? Include your graph.

What does this point of intersection represent?

For what values of m (minutes) is Call Me a better deal? Express your answer as an inequality.

Call Me = 5.95 + .08(minutes used)

Trans Talk = 12.95 + .05(miuntes used)

I'll let you do the calculations.

Although I cannot draft it here, the intersection represents equal values.

To determine which company is the better deal for 100 minutes, we can calculate the total cost for each option.

For Call Me:
Monthly service fee: $5.95
Cost per minute: $0.08
Total cost = Monthly service fee + (Cost per minute × Number of minutes)
Total cost = $5.95 + ($0.08 × 100)
Total cost = $5.95 + $8
Total cost = $13.95

For Trans Talk:
Monthly service fee: $12.95
Cost per minute: $0.05
Total cost = Monthly service fee + (Cost per minute × Number of minutes)
Total cost = $12.95 + ($0.05 × 100)
Total cost = $12.95 + $5
Total cost = $17.95

Therefore, for 100 minutes, Call Me is the better deal as its total cost is $13.95 compared to Trans Talk's total cost of $17.95.

To find out which company is the better deal for 300 minutes, we repeat the same calculation.

For Call Me:
Total cost = $5.95 + ($0.08 × 300)
Total cost = $5.95 + $24
Total cost = $29.95

For Trans Talk:
Total cost = $12.95 + ($0.05 × 300)
Total cost = $12.95 + $15
Total cost = $27.95

Therefore, for 300 minutes, Trans Talk is the better deal as its total cost is $27.95 compared to Call Me's total cost of $29.95.

To graph this system, we can plot the two options on a graph. The x-axis represents the number of minutes, and the y-axis represents the total cost.

Call Me:
- y-intercept: $(0.08 × 0) + $5.95 = $5.95
- Point: (0, $5.95)
- Slope: $0.08 (cost per minute)

Trans Talk:
- y-intercept: $(0.05 × 0) + $12.95 = $12.95
- Point: (0, $12.95)
- Slope: $0.05 (cost per minute)

Plotting these points and drawing lines using their respective slopes, we can see that the two lines intersect at a point (300, $27.95). This is the point of intersection.

The point of intersection represents the number of minutes (300) where both companies have the same total cost ($27.95). Before this point, Trans Talk is the better deal, and after this point, Call Me becomes the better deal.

To express the values of m (minutes) for which Call Me is a better deal, we can set up an inequality.

Let m be the number of minutes:
$5.95 + ($0.08 × m) < $12.95 + ($0.05 × m)

Simplifying the inequality:
$0.08m - $0.05m < $12.95 - $5.95
$0.03m < $7
m < $7 / $0.03
m < 233.33

Therefore, for values of m (minutes) less than 233.33, Call Me is the better deal.