Question

Which real-life situation involves a linear function whose graph passes through the points? Y (0, 20) and x (4, 80)
A) the entrance fee to an amusement park is $15 and each book of ride tickets costs $20.
B) Jet ski rental costs $20 initially plus $15 for each hour.
C) Shoes are on a sale at a shoe store for $20 for the first pair and $17 for each additional pair.
D) You earn and deposit into a bank account money from chores at the rate of $20 per week.

Answer 1

Answer:

B) Jet ski rental costs $20 initially plus $15 for each hour.

Step-by-step explanation:

The equation of a line has the following format:

$y = mx+b$

In which m is the slope, which having two points on the line, is given by the change in y divided by the change in x, and b is the y-intercept, which is the value of y when $x = 0$.

Passes through point Y (0, 20):

This means that $b = 20$. So

$y = mx+20$

Slope:

Through points (0,20) and (4,80). So

Change in y: 80 - 20 = 60

Change in x: 4 - 0 = 4

Slope: 60/4 = 15

So

$y = 15x+20$

Situation:

We want a situation in which we have a fixed fee of 20, and then for each unit of time or of the product, and increase of 15. So the correct option is B