The table shows the average bill totals for given numbers of diners at Simone’s restaurant. If the rate is constant and you grap

Question

2 years ago

12

The table shows the average bill totals for given numbers of diners at Simone’s restaurant. If the rate is constant and you grap

h this relationship with the number of people along the x-axis and bill amounts along the y-axis, which points will lie on the line you get?
Persons Bill Amount
1 ------------$40
2 $80
7 -------------$280
9 $360
11 $440

A.(12, 460
B.(20, 800)
C.(24, 1,020
D.(27, 1,080)
E.(28, 1,110)

JUST FYI THERE IS MORE THAN ONE ANSWER
NEED HELP ASAP

Mathematics

2 answers:

Brilliant_brown [7] · Answer 1 · 2023-09-21T19:08:09+03:00

Answer:

Option B and D are correct.

(20, 800) and (27, 1080) points lie on the graph y = 40x

Step-by-step explanation:

Point slope intercept form: The general form of linear equation is given by $y-y_1 = m(x-x_1)$ ,.....[1] where m is the slope of the line and a point on a line $(x_1, y_1)$ .

From the given table:

Consider any two points i.e,

let A = (1, 40) and B = (2, 80)

First calculate slope(m);

$m = \frac{y_2-y_1}{x_2-x_1}$

Substitute the given points, we have;

$m = \frac{80-40}{2-1}=\frac{40}{1}$ = 40 which is constant.

Now, substitute the value of m and (1, 40) in [1] we get;

$y-40 = 40(x-1)$

Using distributive property; $a \cdot(b+c) = a\cdot b + a\cdot c$

$y-40 = 40x-40$

Add both sides 40 we get;

y = 40x; where x represents the number of people and y represents the bill amount

We have to find which points lie on the graph y = 40 x;

Option A:

(12, 460)