Answer: Albert's grand father is 50 years older that Albert this year.
Step-by-step explanation:
Let x represent Albert's age this year.
Let x represent Albert's grandfather age this year.
This year Albert and his grandfather's ages total to 64 years. This means that
x + y = 64- - - -- - - - - -1
In 3 years, Albert's grandfather will be 6 times as old. This means that
y + 3 = 6(x + 3)
y + 3 = 6x + 18
y = 6x + 18 - 3
y = 6x + 15
Substituting y = 6x + 15 into equation 1, it becomes
x + 6x + 15 = 64
7x = 64 - 15 = 49
x = 49/7
x = 7
y = 6x + 15 = 6 × 7 + 15
y = 57
The difference between their ages is 57 - 7 = 50 years
Answer:
Step-by-step explanation:
Using a linear function, we have that:
a) The fixed cost is of $10.
b) The equation is: C = 10 + 12d.
c) The cost of an 18 km trip is $226.
d) The distance traveled is of 20 km.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For this problem, the slope is of m = 12. When d = 5, C(d) = 70, hence we find the fixed cost as follows:
C(d) = 12d + b
70 = 60 + b
b = 10.
Hence the equation is:
C(d) = 12d + 10.
For a trip of 18 km, d = 18, hence the cost is:
C(12) = 12 x 18 + 10 = $226.
When the cost is of $250, the distance is found as follows:
250 = 12d + 10
12d = 240
d = 240/12
d = 20 km.
More can be learned about linear functions at brainly.com/question/24808124
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It would be 50,000, because 5*10,000=50,000.
