Answer:
Step-by-step explanation:
1. To find f(0.5), substitute the x value in the function f(x) with 0.5
f(x) = 30x + 5
f(0.5) = 30*0.5 + 5
= 15 + 5
= 20
At 0.5 gigabytes of data used, the cost is $20
2) g(x) = 10x + 20
g(0.5) = 10*0.5 + 20
= 5 + 20
= 25
At 0.5 gigabytes of data used, the cost is $ 25.
3) f(x) = 50
30x + 5 = 50
Subtract 5 from both sides
30x = 50 - 5
30x = 45
Divide both sides by 30
x = 45/30
x = 1.5
If she chooses plan 'f', she could use 1.5 gigabytes.
g(x) = 50
10x + 20 = 50
10x =50- 20
10x = 30
x = 30/10
x = 3
If she chooses plan 'g', she could use 3 gigabytes.
4) Function 'g' would be better for a $50 monthly budget as she could get more gigabytes than function 'f'
