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PLSSS HELPPPPPthe number of stores opened by a coffee company can be modeled by the exponential function graphed on the grid. Based on the graph, which statement does not appear to be true.

PLSSS HELPPPPPthe number of stores opened by a coffee company can be modeled by the-example-1
User JimHawkins
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Let's analyze the statements to see which one is not true.

Statement F. The coffee shop company had opened 400 stores by the end of 1992.

The horizontal axis on the graph (the x-axis) represents the number of years that have passed since 1992, thus the year 1992 is at x=0 on the graph.

The vertical axis (the y-axis) represents the number of stores.

As we can see in the following diagram, the red point represents the number of stores at x=0 (at the year 1992):

it is true that the coffee shop had 400 stores by the end of 1992.

Statement G. The coffee shop opened 100 stores in 1 year.

To see if this is true, we look at x=1, which represents 1 year, and check for the number of stores corresponding to 1 year:

This point is at (1,500) --> After 1 year there were 500 stores.

Since they started with 400 stores, this means that it is true that they opened 100 stores in 1 year.

Statement H. Every year the number of stores the coffee company opened increased by 25%.

We can find if this is true just by looking at the form of the graph. This graph has an exponential curve which means that the growth increases at every step. Thus there is an increase in the coffee shop that they open every year. This statement is true.

Statement J. Since 1992 the coffee shop company has opened 250 stores each year.

As we saw with the previous statement, the number of shops opened every year is not constant, it increases with time. Thus, since they do not open the same amount of shops every year, this option the one that is not true.

Answer: Statement J

PLSSS HELPPPPPthe number of stores opened by a coffee company can be modeled by the-example-1
PLSSS HELPPPPPthe number of stores opened by a coffee company can be modeled by the-example-2
User Mianjee
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