The graph models the cost of cheese pizza with extra toppings at two different restaurants. according to the graph, about how many pizza toppings must be added to make the cost of the pizzas equal? a. 5 b. 10 c. 12 d. 16

The correct answer is A) 5.

This is a problem of solving two simultaneous equations and approximation. There are two functions for cost and we have to spot where they intersect. The two functions intersect at when the x variable which represents number of toppings is about 5. This value represents when customers buy cheese pizza with a total of 5 toppings.

The correct answer is A.5

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."