Please help and provide an explanation for why the answer is f(x) = 3/2x + 7
2 answers:
Answer:
Step-by-step explanation:
To write the equation of a line, two information are needed.
- Slope (also known as gradient)
- A pair of coordinates (or a point) on the line
The slope can be calculated using the gradient formula as long as two pairs of coordinates are given. This question provides the slope, hence we can substitute its value into the equation right away.
In slope-intercept form, the equation of a line is given by y= mx +c, where m is the slope and c is the y-intercept. The slope gives us the steepness of the line, while the y-intercept is the y value in which the line cuts through the y-axis (vertical axis).
y= mx +c
Given that slope= , m=
.
Substitute the value of m:
Next, find the value of c by substituting a pair of coordinates.
When x= -4, y= 1,
1= -6 +c
Add 6 to both sides:
c= 1 +6
c= 7
Substituting the value of c:
For more examples on writing equation of lines, check out: brainly.com/question/27941697
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Answer:
(a)
$850.
(b)
$4250.
(c)
$4267.
Step-by-step explanation:
It is given that the value of a new car decreases by about 15% in the first year.
(a)
Now we are asked to find the cost of a car after one year; if we are given the initial value of car=$1000.
As the rate decreases by 15%.
that means we have to pay (100-15)% of the initial amount.
i.e. we have to pay 85% of the initial amount.
Hence the amount one has to pay= 85% of 1000.
which is equal to =85%×1000
⇒ =
Hence, the amount of car after one year when initaial amount is $1000 is:
$850.
(b)
if initial amount=$ 5000
then amount one has to pay after one year:
Hence, the amount of car after one year when initaial amount is $5000 is:
$4250.
(c)
if initial amount=$ 5020
then amount one has to pay after one year:
Hence, the amount of car after one year when initaial amount is $5020 is:
$4267.