Question

The scatter plot below shows the number of pizzas sold during weeks when different numbers of coupons were issued. The equation represents the linear model for this data.
y = 3.4x + 43



According to the model, what is the average number of pizzas sold in one night if no coupons are issued?



A. 0

B. 21

C. 43

D. 60

E. 70

Answer 1

Answer:

The correct answer option C.

Step-by-step explanation:

Let x be the number of coupons issued.

Let y be the number of the pizzas sold.

The given equation:

$y=3.4x+43$

This given equation of an straight line.

Number of pizzas when no coupons were issued.

$y=3.4x+43=3.4\times 0+43=43$

43 number of pizzas were sold in one night.

Hence, the correct answer option C.

Answer 2

Answer:

The average number of pizzas sold in one night if no coupons are issued is 43.

Step-by-step explanation:

In the scatter plot the average number of pizzas sold is represented on x and number of coupons issued is represented on y.

The trend line of this linear model is $y = 3.4x + 43$

So, when no coupons are issued then the value of x becomes 0, then putting the value of x in the equation,

$\Rightarrow y=3.4(0)+43$

$\Rightarrow y=0+43$

$\Rightarrow y=43$

Therefore, the average number of pizzas sold in one night if no coupons are issued is 43.