Graph the exponential function.
y=5(2)^x

Option A is correct.

Explanation:

Exponential function: The function is given by : .....[1];

where a≠0 is the initial value and base b>0 , b≠1 and x is any real number.

Given: The exponential function:              ......[2]

On comparing  above with  equation [1] we have,

a =5 and b = 2>1

Since, the domain is all Real numbers and the range is all positive real numbers except 0.

To find y-intercept;

Substitute x = 0 to solve for y;

Substitute in [2] we get;

    [Remember any number to the zero power is 1 ].

Therefore, the  graph has a y-intercept at (0,5).

*If b > 1, then, the  graph increases.

or

we can say that the greater the base, b the faster the graph rises from left to right

and  

If 0<b<1 , then the graph decreases.

Therefore, the given exponential function graph  increases because b = 2>1 .

End behavior of the given function ;

As then,

And for then,

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!

answer: 40392

step-by-step explanation:

10098 x 4 = 40392