Question

A catering company uses a linear function to determine the total cost of parties. The following table shows the costs for dinner parties with varied numbers of guests. What is the cost to cater a dinner party with 90 guests? Guests Total Cost 30 $315 60 $555 $720 $795 $870 $945

Answer 1

Answer:

$42750

Step-by-step explanation:

Cost of dinner for 30 guests =   $315 for each guest

Therefore, if the cost for one guest is $315, then the

Cost for 30 guests = 315×30

= $9450

Similarly,

Cost of dinner for 60 guests = $555 for each guest

Therefore, if the cost of one guests is $555, then the

Cost for 60 guests = 555 × 60

= $33300

Hence,

Cost for 90 guests = cost for 30 guest + cost for 60 guests

= 9450+33300

= $42750

Answer 2

Answer:

B) $795

Step-by-step explanation:

30 guests and a cost of 315 would make the ordered pair (30, 315).

60 guests and a cost of 555 would make the ordered pair (60, 555).

(555-315)/(60-30) would give us the slope 240/30 which is 8.

write it in point slope form: y - 315 = 8(x - 30)

you can convert to slope intercept form,

y = 315 + 8x - 240

y = 8x + 75

now for the 90 guests it would be y = 90(8) + 75

so therefore y = 795

and your answer would be $795