Answer:
x = 6 months.
The equation is given by $45 + ($49.45 × x) = ($56.95 × x).
Step-by-step explanation:
i) Let x be the number of months of Internet Service purchased till the Fast
Internet charges and Quick Internet charges become the same.
ii) Charges for Fast Internet for x months is given by $45 + ($49.45 × x)
iii) Charges for Quick Internet for x months is given by ($56.95 × x)
iv) According to the first statement we will now equate the equations in ii)
and iii) and solve for x.
Therefore, $45 + ($49.45 × x) = ($56.95 × x)
45 + 49.45 x = 56.95 x
Therefore (56.95 - 49.45) x = 45
7.50 × x = 45
Therefore x = 45 ÷ 7.5 = 6
Answer:
k = 10
Step-by-step explanation:
f(x) has been moved up 10 units to get g(x). So, k = 10
Y=25x is proportional. Unit rate is 25
The other 2 aren't because they have a y-intercept and don't cross the orgin
Answer:
The number is infinity
Step-by-step explanation:
Let the unknown number be x
if the number increased by three, then we have;
x + 3
Also quadrupling that number increased by five all divided by four is expressed as;
(4x+5)/4
Equating bith expressions and calculating x;
x+3 = (4x+5)/4
cross multiply;
4(x+3) = 4x + 5
4x+12 = 4x + 5
4x-4x = 5 - 12
0x = -7
x = -7/0
x = ∞
Hence the number is infinity
